# DIVISION: Problem 3

Rule 15: To divide a fraction by a whole number, or a whole number by a fraction, convert the division process to a multiplication process, and complete the following steps.

1.
Convert the whole number to a fraction
2.
Change the sign to and invert the fraction to the right of the sign.
3.
Multiply the numerators.
4.
Multiply the denominators.
5.
Reduce the results. (See Rule 10)
a.
Factor the product of the numerators.
b.
Factor the product of the denominators.
c.
Look for the fractions that have a value of 1.

Solution: Convert the problem to multiplication by changing the division sign to multiplication and inverting the fraction to the right of the sign.

Multiply the numerators, multiply the denominators, and leave the product in factored form.

Factor the numerator, factor the denominator, and locate the fraction that has a value of 1.

Check: You can check your answer with your calculator. Calculate 8 divided by 11, 16 divided by 20, and divide the first answer by the second answer. Now calculate 10 divided by 11. If the two answers are the same, you have correctly worked the problem..

[Previous Problem] [Next Problem] [Menu Back]