Multiplying and Dividing Fractions - 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 (part) and 'b' is the denominator (whole).

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, a ÷ (b/c) = a * (c/b).

Front

How do you find the area of a rectangle?

Back

The area of a rectangle is found by multiplying its length by its width. Area = length * width.

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 convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is the area of a field that is 6 2/3 yards long and 4 3/4 yards wide?

Back

The area is 31 2/3 square yards.

Front

If Coach Peters has 12 gallons of water and each bucket needs 1/3 gallon, how many buckets can he fill?

Back

He can fill 36 buckets.

Front

If 12 whole pizzas are eaten and each person eats 1/4 pizza, how many people eat pizza?

Back

48 people eat pizza.

Front

What does 10 ÷ 1/5 represent?

Back

It represents cutting a 10-inch ribbon into pieces that are 1/5 inch long.