Dividing Fractions and Mixed Numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, a/b ÷ c/d = a/b × d/c.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/2.

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction a/b is b/a. For example, the reciprocal of 3/4 is 4/3.

Front

How do you convert an improper fraction to a mixed number?

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

Front

What is the result of 6/7 ÷ 3/7?

Back

The result is 2.

Front

If each pillow case uses 3/4 yard of fabric, how many pillow cases can be made from 12 1/2 yards?

Back

They can make 16 pillow cases.

Front

How many servings are in a box that holds 13 cups if the serving size is 3/4 cup?

Back

There are 17 1/3 servings.

Front

What is 2 1/4 ÷ 4 1/5?

Back

The result is 15/28.