MULTIPLICATION: Problem 4

Rule 12: To multiply a whole number and a fraction, complete the following steps.

1.
Convert the whole number to a fraction. (See Rule 8)
2.
Multiply the numerators.
3.
Multiply the denominators.
4.
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.

Problem 4: Reduce tex2html_wrap_inline53 .

Answer. The answer is tex2html_wrap_inline55 .

Solution. Factor the numerator, factor the denominator, and locate the fraction(s) that has(have) a value of 1.

displaymath57

Although we have reduced the problem, it can be reduced further. Follow the same steps

displaymath59

You can check the answer with your calculator. If 72 divided by 90 yields the same answer as 4 divided by 5, tex2html_wrap_inline53 is equivalent to tex2html_wrap_inline55 .

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