SSAT Middle Level Math : How to divide fractions

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

Example Question #4 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

 people are sharing a  pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number. 

 can go into  only  times with  left over. 

 

Example Question #5 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

 people are sharing a  pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number. 

 and go into  only  times and  will be left over. 

Example Question #6 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

 people are sharing a  pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number. 

 can go into  only  times with  left over. 

Example Question #7 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

 people are sharing a  pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number. 

 can go into  only  times with  left over. 

 

Example Question #8 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

 people are sharing a  pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number. 

 can go into  only  times with  left over. 

Example Question #9 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

 people are sharing a  pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number. 

 cand go into  only  times with  left over.

Example Question #51 : How To Divide Fractions

 people are sharing a  pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number. 

 can be divided into  only  times, with  left over. 

Example Question #51 : How To Divide Fractions

 people are sharing a  pould bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number. 

 

 can be divided into  only  times with  left over. 

Example Question #52 : How To Divide Fractions

 people are sharing a -pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number. 

 can go into  only  times with  left over. 

Example Question #51 : Fractions

Hydraulic fracturing is a process used by gas companies to rupture and collects pockets of gas trapped within pockets of shale rock. A particular shale fracking site is  in length and occupies an area of . How wide is this particular site?

Possible Answers:

Correct answer:

Explanation:

In order to solve this question, we need to first recall how to find the area of a rectangle.

Substitute in the given values in the equation and solve for .

Divide both sides by 

Dividing by a fraction is the same as multiplying by its inverse or reciprocal.

Find the reciprocal of 

Simplify and rewrite.

Multiply and solve.

Reduce.

The width of the fracking site is 

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