Multiplying & Dividing Whole Numbers by 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 a whole number by a fraction?

Back

To multiply a whole number by a fraction, multiply the whole number by the numerator of the fraction and keep the denominator the same. For example, 3 x 1/4 = 3/4.

Front

What does it mean to divide 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. For example, 6 ÷ 1/3 = 6 x 3/1 = 18.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction 'a/b' is 'b/a'. It is obtained by flipping the numerator and denominator.

Front

How can you find the total amount when multiplying a fraction by a whole number?

Back

Multiply the whole number by the numerator of the fraction and then divide by the denominator. For example, to find 5 x 1/3, calculate (5 x 1) / 3 = 5/3.

Front

What is the result of 1/4 ÷ 2?

Back

1/4 ÷ 2 = 1/4 x 1/2 = 1/8.

Front

If you have 5 cups of batter and use 1/3 cup per pancake, how many pancakes can you make?

Back

You can make 15 pancakes because 5 ÷ (1/3) = 5 x 3/1 = 15.

Front

How do you divide a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by the whole number. For example, 1/2 ÷ 3 = 1/(2 x 3) = 1/6.

Front

What is the formula for finding the weight per trip if you have a total weight and number of trips?

Back

Total weight ÷ Number of trips = Weight per trip. For example, 1/6 ton ÷ 4 trips = 1/24 ton per trip.

Front

What is the result of 6 x 1/5?

Back

6 x 1/5 = 6/5 or 1 1/5.