Dividing whole number by mixed number

You may encounter problems that require dividing a whole number by a mixed number. For example, divide 2 by .

To solve this example, convert the divisor to an improper fraction. Then multiply the number 2 by the fraction inverse of the divisor.

Convert the divisor of to an improper fraction, you get . Then multiply 2 by the fraction inverse of the fraction . The inverse of fraction is fraction

Let's say there are two whole pizzas:

Ask the question, "How many times (one whole and one half pizza) are in two whole pizzas?" We solved a similar example earlier when we learned how to divide a whole number by a fraction.

Two pizzas contain one whole pizza and one half pizza. This can be seen if the second pizza is cut in half:

And the remaining half is a third of the that didn't fit. The reason it is a third is because in one whole and one half of the pizza, the whole portion of the pizza can be divided in half. Then each slice would be a third of that amount:

Therefore, the value of the expression is

Example 2. Find the value of the expression

Convert the divisor of into an improper fraction, and you get . Now multiply the number 5 by the inverse of the fraction . The inverse of the fraction is fraction

First, we got the answer , then we reduced this fraction by 5, and got , but we were not satisfied with this answer either, because it was an improper fraction. We singled out the whole part of this improper fraction. As a result, we got the answer

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