Fraction Division Word Problems

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 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, to divide 6 by 1/2, calculate 6 * (2/1) = 12.

Front

What does it mean to cut a cake into equal parts?

Back

Cutting a cake into equal parts means dividing it into pieces that are the same size. For example, cutting a cake into fourths means each piece is 1/4 of the whole cake.

Front

If Ryan has 3 cakes and cuts each into fourths, how many slices does he have?

Back

12 slices (3 cakes x 4 slices per cake = 12 slices).

Front

How do you find out how long a quantity will last if consumed at a certain rate?

Back

To find out how long a quantity will last, divide the total quantity by the rate of consumption. For example, 8 gallons of water consumed at 1/5 gallon per day lasts 40 days (8 ÷ (1/5) = 40).

Front

What is the process to find a fraction of a fraction?

Back

To find a fraction of a fraction, multiply the numerators and multiply the denominators. For example, to find 1/3 of 1/2, calculate (1*1)/(3*2) = 1/6.

Front

If Joseph has 1/3 of a pizza and cuts it into 3 equal slices, what fraction is each slice?

Back

Each slice is 1/9 of the entire pizza (1/3 ÷ 3 = 1/9).

Front

How do you determine how many portions can be made from a total amount?

Back

To determine how many portions can be made, divide the total amount by the size of each portion. For example, 3 pounds of blueberries divided into 1/2 pound portions results in 6 portions (3 ÷ (1/2) = 6).

Front

What is the formula to divide a whole into smaller parts?

Back

To divide a whole into smaller parts, divide the total amount by the number of parts. For example, dividing 1/2 acre into 3 lots results in 1/6 acre per lot (1/2 ÷ 3 = 1/6).

Front

What is a reciprocal in fractions?

Back

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