Dividing a whole number by a fraction

The rule for dividing a number by a fraction is the same as the rule for dividing a fraction by a number.

To divide a number by a fraction, multiply the number by the fraction inverse of the divisor.

For example, divide the number 1 by 1/2.

To divide the number 1 by 1/2, you must multiply the number 1 by the fraction inverse of the fraction 1/2. And the inverse of fraction 1/2 is fraction 2 * 1.

1 *1*2 =2

The expression 1 /1 * 2 can be understood as defining the number of halves in one whole pizza. Suppose there is one whole pizza:

1

If we ask the question "how many times is half contained in this pizza", the answer is 2. Indeed, half is contained in one whole pizza twice

1

Example 2. Find the value of the expression 2 / 1 * 2

Multiply 2 by a fraction the inverse of the divisor. And the inverse of the divisor is the fraction 2 * 1

2 / 1 * 2

Let's say we have two whole pizzas:

2

If we ask the question "how many times half is in two pizzas", the answer is 4. Indeed, half is contained in two pizzas four times:

2

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