ISEE Middle Level Math : How to divide fractions

Example Questions

Example Question #11 : How To Divide Fractions

Simplify:       Explanation:

Rewrite as a division, then solve:      Example Question #12 : How To Divide Fractions

Evaluate:       Explanation:

To divide any number by a fraction, we can multiply that number by the reciprocal of the fraction. That means: So we have:  Example Question #13 : How To Divide Fractions

Simplify:       Explanation:

Multiply each term by 6:  Example Question #14 : How To Divide Fractions

Evaluate:      Explanation:

A mixed number represents the sum of an integer and a fraction. In order to evaluate this problem first we need to change the mixed number ( ) to an improper fraction. Improper fractions are fractions whose numerator is greater than the denominator. So we can write: Now we should evaluate and we have: Example Question #15 : How To Divide Fractions

Simplify:       Explanation:

We can first find a common denominator for the expression in the numerator, which is . This gives us:   Example Question #531 : Numbers And Operations

Which of the following is the reciprocal of ?     Explanation:

First, rewrite this as an improper fraction: The reciprocal of an improper fraction can be found by switching its numerator and denominator, retaining the negative sign, so the reciprocal is .

Example Question #532 : Numbers And Operations

Which of the following is the reciprocal of 2.8?     Explanation:

First, rewrite this as an improper fraction: The reciprocal of an improper fraction can be found by switching its numerator and denominator, so the reciprocal is .

Example Question #533 : Numbers And Operations

Solve:      Explanation: Example Question #534 : Numbers And Operations

Which of the following is the reciprocal of 31.25?     Explanation:

Rewrite 31.25 as a fraction: Exchange the positions of the numerator and the denominator to get . Now divide 4 by 125: Example Question #535 : Numbers And Operations

Solve:        