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Multiplication and division Fractions Numerator and denominator Simplifying fractions Equivalent fractionsHere you will learn about fraction word problems, including solving math word problems within a real-world context involving adding fractions, subtracting fractions, multiplying fractions, and dividing fractions.
Students will first learn about fraction word problems as part of number and operations—fractions in katex is not definedth grade.
Fraction word problems are math word problems involving fractions that require students to use problem-solving skills within the context of a real-world situation.
To solve a fraction word problem, you must understand the context of the word problem, what the unknown information is, and what operation is needed to solve it. Fraction word problems may require addition, subtraction, multiplication, or division of fractions.
After determining what operation is needed to solve the problem, you can apply the rules of adding, subtracting, multiplying, or dividing fractions to find the solution.
For example,
Natalie is baking katex is not defined different batches of cookies. One batch needs katex is not defined cup of sugar and the other batch needs katex is not defined cup of sugar. How much sugar is needed to bake both batches of cookies?
You can follow these steps to solve the problem:
Step-by-step guide: Adding and subtracting fractions
Step-by-step guide: Adding fractions
Step-by-step guide: Subtracting fractions
Step-by-step guide: Multiplying and dividing fractions
Step-by-step guide: Multiplying fractions
Step-by-step guide: Dividing fractions
How does this relate to katex is not definedth grade math to katex is not definedth grade math?
Use this worksheet to check your 4th to 6th grade students’ understanding of fraction word problems. 15 questions with answers to identify areas of strength and support!
DOWNLOAD FREEUse this worksheet to check your 4th to 6th grade students’ understanding of fraction word problems. 15 questions with answers to identify areas of strength and support!
DOWNLOAD FREEIn order to solve fraction word problems:
Julia ate katex is not defined of a pizza and her brother ate katex is not defined of the same pizza. How much of the pizza did they eat altogether?
The problem states how much pizza Julia ate and how much her brother ate. You need to find how much pizza Julia and her brother ate altogether, which means you need to add.
2Write an equation.
katex is not defined3Solve the equation.
To add fractions with like denominators, add the numerators and keep the denominators the same.
katex is not defined4State your answer in a sentence.
The last step is to go back to the word problem and write a sentence to clearly say what the solution represents in the context of the problem.
Julia and her brother ate katex is not defined of the pizza altogether.
Tim ran katex is not defined of a mile in the morning and katex is not defined of a mile in the afternoon. How far did Tim run in total?
Determine what operation is needed to solve.
The problem states how far Tim ran in the morning and how far he ran in the afternoon. You need to find how far Tim ran in total, which means you need to add.
Write an equation.
Solve the equation.
To add fractions with unlike denominators, first find a common denominator and then change the fractions accordingly before adding.
katex is not defined
The least common multiple of katex is not defined and katex is not defined is katex is not defined so katex is not defined can be the common denominator.
That means katex is not defined will need to be changed so that its denominator is katex is not defined To do this, multiply the numerator and the denominator by katex is not defined
katex is not defined
Now you can add the fractions and simplify the answer.
katex is not defined
State your answer in a sentence.
Tim ran a total of katex is not defined miles.
Pia walked katex is not defined of a mile to the park and katex is not defined of a mile back home. How much farther did she walk to the park than back home?
Determine what operation is needed to solve.
The problem states how far Pia walked to the park and how far she walked home. Since you need to find the difference (how much farther) between the two distances, you need to subtract.
Write an equation.
Solve the equation.
To subtract fractions with like denominators, subtract the numerators and keep the denominators the same.
katex is not defined
State your answer in a sentence.
Pia walked katex is not defined of a mile farther to the park than back home.
Henry bought katex is not defined pound of beef from the grocery store. He used katex is not defined of a pound of beef to make a hamburger. How much of the beef does he have left?
Determine what operation is needed to solve.
The problem states how much beef Henry started with and how much he used. Since you need to find how much he has left, you need to subtract.
Write an equation.
Solve the equation.
To subtract fractions with unlike denominators, first find a common denominator and then change the fractions accordingly before subtracting.
katex is not defined
The least common multiple of katex is not defined and katex is not defined is katex is not defined so katex is not defined can be the common denominator.
That means both fractions will need to be changed so that their denominator is katex is not defined
To do this, multiply the numerator and the denominator of each fraction by the same number so that it results in a denominator of katex is not defined This will give you an equivalent fraction for each fraction in the problem.
katex is not defined
Now you can subtract the fractions.
katex is not defined
State your answer in a sentence.
Henry has katex is not defined of a pound of beef left.
Andre has katex is not defined of a candy bar left. He gives katex is not defined of the remaining bit of the candy bar to his sister. What fraction of the whole candy bar does Andre have left now?
Determine what operation is needed to solve.
It could be challenging to determine the operation needed for this problem; many students may automatically assume it is subtraction since you need to find how much of the candy bar is left.
However, since you know Andre started with a fraction of the candy bar and you need to find a fraction katex is not defined a fraction, you need to multiply.
The difference here is that Andre did NOT give his sister katex is not defined of the candy bar, but he gave her katex is not defined of katex is not defined of a candy bar.
Write an equation.
To solve the word problem, you can ask, “What is katex is not defined of katex is not defined” and set up the equation accordingly. Think of the multiplication sign as meaning “of.”
katex is not defined
Solve the equation.
To multiply fractions, multiply the numerators and multiply the denominators.
katex is not defined
State your answer in a sentence.
Andre gave katex is not defined of katex is not defined of a candy bar to his sister, which means he has katex is not defined of katex is not defined left. Therefore, Andre has katex is not defined of the whole candy bar left.
Nia has katex is not defined cup of trail mix. How many katex is not defined cup servings can she make?
Determine what operation is needed to solve.
The problem states the total amount of trail mix Nia has and asks how many servings can be made from it.
To solve, you need to divide the total amount of trail mix (which is katex is not defined cup) by the amount in each serving (katex is not defined cup) to find out how many servings she can make.
Write an equation.
Solve the equation.
To divide fractions, multiply the dividend by the reciprocal of the divisor.
katex is not defined
You can simplify katex is not defined to katex is not defined and then katex is not defined
State your answer in a sentence.
Nia can make katex is not defined cup servings.
Use this quiz to check your grade 4 to 6 students’ understanding of fraction operations. 10+ questions with answers covering a range of 4th to 6th grade fraction operations topics to identify areas of strength and support!
DOWNLOAD FREEUse this quiz to check your grade 4 to 6 students’ understanding of fraction operations. 10+ questions with answers covering a range of 4th to 6th grade fraction operations topics to identify areas of strength and support!
DOWNLOAD FREE1. Malia spent katex is not defined of an hour studying for a math test. Then she spent katex is not defined of an hour reading. How much longer did she spend studying for her math test than reading?
Malia spent katex is not defined of an hour longer studying for her math test than reading.
Malia spent katex is not defined of an hour longer studying for her math test than reading.
Malia spent katex is not defined of an hour longer reading than studying for her math test.
Malia spent katex is not defined of an hour longer studying for her math test than reading.
To find the difference between the amount of time Malia spent studying for her math test than reading, you need to subtract. Since the fractions have unlike denominators, you need to find a common denominator first.
You can use katex is not defined as the common denominator, so katex is not defined becomes katex is not defined Then you can subtract.
katex is not defined
katex is not defined can then be simplified to katex is not defined
Finally, you need to choose the answer that correctly answers the question within the context of the situation. Therefore, the correct answer is “Malia spent katex is not defined of an hour longer studying for her math test than reading.”
2. A square garden is katex is not defined of a meter wide and katex is not defined of a meter long. What is its area?
The area of the garden is katex is not defined square meters.
The area of the garden is katex is not defined square meters.
The area of the garden is katex is not defined square meters.
The perimeter of the garden is katex is not defined meters.
To find the area of a square, you multiply the length and width. So to solve, you multiply the fractional lengths by mulitplying the numerators and multiplying the denominators.
katex is not defined
katex is not defined can be simplified to katex is not defined
Therefore, the correct answer is “The area of the garden is katex is not defined square meters.”
3. Zoe ate katex is not defined of a small cake. Liam ate katex is not defined of the same cake. How much more of the cake did Zoe eat than Liam?
Zoe ate katex is not defined more of the cake than Liam.
Zoe ate katex is not defined more of the cake than Liam.
Zoe ate katex is not defined more of the cake than Liam.
Liam ate katex is not defined more of the cake than Zoe.
To find how much more cake Zoe ate than Liam, you subtract. Since the fractions have the same denominator, you subtract the numerators and keep the denominator the same.
katex is not defined
katex is not defined can be simplified to katex is not defined
Therefore, the correct answer is “Zoe ate katex is not defined more of the cake than Liam.”
4. Lila poured katex is not defined cup of pineapple and katex is not defined cup of mango juice in a bottle. How many cups of juice did she pour into the bottle altogether?
Lila poured katex is not defined cups of juice in the bottle altogether.
Lila poured katex is not defined cups of juice in the bottle altogether.
Lila poured katex is not defined cups of juice in the bottle altogether.
Lila poured katex is not defined cups of juice in the bottle altogether.
To find the total amount of juice that Lila poured into the bottle, you need to add. Since the fractions have unlike denominators, you need to find a common denominator first.
You can use katex is not defined as the common denominator, so katex is not defined becomes katex is not defined Then you can add.
katex is not defined
katex is not defined can be simplified to katex is not defined
Therefore, the correct answer is “Lila poured katex is not defined cups of juice in the bottle altogether.”
5. Killian used katex is not defined of a gallon of paint to paint his living room and katex is not defined of a gallon to paint his bedroom. How much paint did Killian use in all?
Killian used katex is not defined gallons of paint in all.
Killian used katex is not defined gallons of paint in all.
Killian used katex is not defined gallons of paint in all.
Killian used katex is not defined gallons of paint in all.
To find the total amount of paint Killian used, you add the amount he used for the living room and the amount he used for the kitchen. Since the fractions have the same denominator, you add the numerators and keep the denominators the same.
katex is not defined
katex is not defined can be simplified to katex is not defined and then further simplified to katex is not defined
Therefore, the correct answer is “Killian used katex is not defined gallons of paint in all.”
6. Evan pours katex is not defined of a liter of orange juice evenly among some cups.
He put katex is not defined of a liter into each cup. How many cups did Evan fill?
Evan filled katex is not defined cups.
Evan filled katex is not defined cups.
Evan filled katex is not defined cups.
Evan filled katex is not defined cups.
To find the number of cups Evan filled, you need to divide the total amount of orange juice by the amount being poured into each cup. To divide fractions, you mulitply the first fraction (the dividend) by the reciprocal of the second fraction (the divisor).
katex is not defined
katex is not defined can be simplifed to katex is not defined
Therefore, the correct answer is “Evan filled katex is not defined cups.”
Fraction word problems are math word problems involving fractions that require students to use problem-solving skills within the context of a real-world situation. Fraction word problems may involve addition, subtraction, multiplication, or division of fractions.
To solve fraction word problems, first you need to determine the operation. Then you can write an equation and solve the equation based on the arithmetic rules for that operation.
Fraction word problems and decimal word problems are similar because they both involve solving math problems within real-world contexts. Both types of problems require understanding the problem, determining the operation needed to solve it (addition, subtraction, multiplication, division), and solving it based on the arithmetic rules for that operation.
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Prepare for math tests in your state with these 3rd Grade to 8th Grade practice assessments for Common Core and state equivalents.
Get your 6 multiple choice practice tests with detailed answers to support test prep, created by US math teachers for US math teachers!
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