Dividing Fractions

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 the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the result of dividing a whole number by a fraction?

Back

Dividing a whole number by a fraction is the same as multiplying the whole number by the reciprocal of the fraction.

Front

If you have 1/4 of a pizza and you want to share it with 4 friends, how much does each friend get?

Back

Each friend gets 1/16 of the pizza (1/4 ÷ 4 = 1/16).

Front

How many 1/3 cup servings are in 2 cups?

Back

There are 6 servings of 1/3 cup in 2 cups (2 ÷ 1/3 = 2 × 3/1 = 6).

Front

What is 5 ÷ 1/2?

Back

5 ÷ 1/2 equals 10.

Front

If you have 6 cups of flour and each recipe requires 1/2 cup, how many recipes can you make?

Back

You can make 12 recipes (6 ÷ 1/2 = 6 × 2 = 12).

Front

What is the meaning of 'dividing by zero'?

Back

Dividing by zero is undefined in mathematics because there is no number that can be multiplied by zero to get a non-zero number.