SSAT Middle Level Math : How to divide fractions

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

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Example Questions

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Example Question #541 : Number & Operations With Fractions

Solve:

Possible Answers:

Correct answer:

Explanation:

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

 can be reduced because both  and  are divisible by 

Example Question #542 : Number & Operations With Fractions

Solve:

Possible Answers:

Correct answer:

Explanation:

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

 because  can go into  three times, with  left over. 

 can be reduced because both  and  are divisible by 

 

Example Question #1311 : Ssat Middle Level Quantitative (Math)

 people are sharing a -pound bag of peanuts. If the peanuts are distributed evenly, how many pounds of peanuts 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 #1312 : Ssat Middle Level Quantitative (Math)

How many  cup servings are in  cups of chocolate chips? 

Possible Answers:

Correct answer:

Explanation:

Because we want to know how many  servings are in  cups, we are dividing  by 

Remember, whenever we divide by a fraction, we multiply by the reciprocal

Example Question #1313 : Ssat Middle Level Quantitative (Math)

Solve the following: 

Possible Answers:

Correct answer:

Explanation:

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

Example Question #1314 : Ssat Middle Level Quantitative (Math)

Christine has  of gummy candies that she wants to divide evenly into  bags. How much will each bag of gummy candies weigh? 

Possible Answers:

Correct answer:

Explanation:

We are splitting  into  equal groups, so we are dividing  by 

To solve  we multiply by the reciprocal. 

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Example Question #402 : Fractions

Possible Answers:

Correct answer:

Explanation:

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

Example Question #1 : Interpret And Compute Quotients Of Fractions: Ccss.Math.Content.6.Ns.A.1

Hydraulic fracturing is a process used by gas companies to rupture and collect 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 

Example Question #651 : Numbers And Operations

How many  servings are in five cups of chocolate chips? 

 

Possible Answers:

Correct answer:

Explanation:

Because we want to know how many  servings are in  cups, we are dividing  by 

Remember, whenever we divide by a fraction, we multiply by the reciprocal

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