Dividing Fractions and Whole Numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole, expressed as a numerator (top number) over a denominator (bottom number). For example, 1/2 means one part out of two equal parts.

Front

What does it mean to divide a fraction by a whole number?

Back

Dividing a fraction by a whole number means to find out how many times the whole number fits into the fraction. This can be done by multiplying the fraction by the reciprocal of the whole number.

Front

What is the reciprocal of a number?

Back

The reciprocal of a number is 1 divided by that number. For example, the reciprocal of 2 is 1/2.

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, to divide 1/2 by 3, you multiply 1/2 by 1/3, which equals 1/6.

Front

What is the quotient of 1/2 divided by 2?

Back

The quotient is 1/4. (1/2 ÷ 2 = 1/2 × 1/2 = 1/4).

Front

What is the quotient of 3/4 divided by 1?

Back

The quotient is 3/4. (3/4 ÷ 1 = 3/4).

Front

What is the quotient of 1/3 divided by 1/2?

Back

The quotient is 2/3. (1/3 ÷ 1/2 = 1/3 × 2/1 = 2/3).

Front

What is the quotient of 5 divided by 1/5?

Back

The quotient is 25. (5 ÷ 1/5 = 5 × 5/1 = 25).

Front

What is a whole number?

Back

A whole number is a non-negative integer, which includes 0, 1, 2, 3, and so on.

Front

What is the relationship between division and multiplication?

Back

Division is the inverse operation of multiplication. This means that if you multiply a number by a divisor, you can divide the product by the same divisor to get back to the original number.