How Do You Multiply a Fraction by a Whole Number?
Answer – A fraction and a whole number can be multiplied by turning the whole number into a fraction.
Explanation:
When two fractions are multiplied with each other, they are always multiplied across, i.e., numerator with numerator and denominator with denominator. The resulting fraction may be simplified if needed.This is a simple enough method to understand.
However, when a fraction and a whole number are involved, it may appear a little more complicated. There is, in fact, a simple work-around for such situations: turn the whole number into a fraction. This is done simply by turning the whole number into the numerator and adding 1 as the denominator.
Therefore, , , and so on and so forth.
Once the whole number has been converted into a fraction as well, multiplication proceeds in the same manner as when two fractions are involved: the numerators are multiplied with each other, as are the denominators, and the result is simplified.
Therefore, if 35 and were to be multiplied, the result would be as follows:
can be simplified as both the numerator and the denominator are divisible by 5.
Thus,
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