Question

100 POINTS PLEASE HELP ASAP!!!!
Explain the concept of using cancellation to reduce fractions.

Answer 1

Canceling is a way to simplify fractions before we multiply. Find one numerator and one denominator that are divisible by the same number. ... Sometimes a diagonal numerator and denominator are the same number. This is the easiest kind of cancellation, because they both cancel to 1.

Answer 2

Step-by-step explanation:

A "reduced" fraction is one that has mutually prime numerator and denominator. That is, the numerator and denominator have no common factors.

A fraction is "reduced" by canceling common factors from numerator and denominator. If "a" is a factor common to the numerator and denominator of a fraction, that fraction can be written with "a" canceled from each:

`(ab)/(ac)=(a)/(a)\cdot(b)/(c)=1\cdot(b)/(c)=(b)/(c)`

Here is a numerical example:

`(2)/(4)=(2\cdot 1)/(2\cdot 2)=(2)/(2)\cdot(1)/(2)=(1)/(2)`

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A numerator factor and a denominator factor "cancel" because their ratio is 1, the identity element for multiplication. Anything times 1 is just that thing.