Dividing fractions and whole numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction 1/2, 1 is the numerator and 2 is the denominator.

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 8 by 1/2, calculate 8 × 2 = 16.

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 find the number of servings in a whole when given a fraction?

Back

To find the number of servings, divide the whole by the fraction. For example, if you have 2 cups of dog food and each serving is 1/2 cup, you calculate 2 ÷ (1/2) = 4 servings.

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Back

This equation shows that when you divide 8 by 2, you get 4. It represents equal sharing or grouping.

Front

If Susan has 1/6 of a pizza and shares it with 2 friends, how much does each person get?

Back

Each person gets 1/18 of the pizza. This is calculated by dividing 1/6 by 3 (1 for Susan and 2 friends).

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Back

The result is 10. Dividing by a fraction is the same as multiplying by its reciprocal.

Front

How do you express a division of fractions?

Back

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 1 1/2 is a mixed number.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the numerator of the fraction.