Question

43/645= I need the to show the work

Answer 1

I'm guessing you need 43/645 simplified:

First, we need to find the greatest common factor (GCF) of the numerator (43) and the denominator (645). To do so, we list all the factors of each number and find the common ones.

Factors of 43: 1, 43
Factors of 645: 1, 3, 5, 15, 43, 129, 215, 645

Out of the listed factors for each number, which numbers are common between the two? The common factors are 1 and 43. Since we are looking for the GREATEST common factor, which number out of 1 and 43 is the greatest? The GCF is 43.

Second, we can now divide the numerator (43) and the denominator (645) by the GCF we recently found which was 43. 

$43 \div 43 = 1 \\ 645 \div 43 = 15$

Third, our new simplified fraction is 1/15. We collected our new numerator and denominator.

Answer in fraction form: $\fbox {1/15}$
Answer in decimal form: $\fbox {0.0667}$