Multiplying & 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 (the number of parts) and 'b' is the denominator (the total number of equal parts).

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

Front

What does it mean to divide by a fraction?

Back

Dividing by a fraction is the same as multiplying by its reciprocal. For example, dividing by (a/b) is the same as multiplying by (b/a).

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

How do you divide a whole number by a fraction?

Back

To divide a whole number by a fraction, multiply the whole number by the reciprocal of the fraction. For example, 4 ÷ (1/3) = 4 * (3/1) = 12.

Front

What is the result of 1/2 divided by 7?

Back

1/2 ÷ 7 = 1/14.

Front

If Gabriel has 1/3 of a cake and shares it with 4 friends, how much does each get?

Back

Each person gets 1/12 of the cake.

Front

What is 1/5 divided by 8?

Back

1/5 ÷ 8 = 1/40.

Front

How do you find the total amount needed when each item requires a fraction of a whole?

Back

Multiply the fraction needed for one item by the total number of items. For example, if each doll needs 2/3 yard of fabric and there are 8 dolls, then 8 * (2/3) = 16/3 or 5 1/3 yards.

Front

What is the formula for multiplying a fraction by a whole number?

Back

To multiply a fraction by a whole number, multiply the numerator by the whole number and keep the same denominator. For example, 3 * (2/5) = (3*2)/5 = 6/5.