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# How do people use this?

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how do you simplify 15/40 to the smallest number possible?

also need the work (darn it)

Apr 3, 2021
edited by Guest  Apr 3, 2021

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First, you find the biggest number that goes into 15 and 40; in other words you find their greatest common factor.

(edit: here's the working out just in case:)
Factors of 15 are: 1, 3, 5, and 15.
Factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40.

In this case, it's 5. Then you divide both the numerator and denominator with that number, giving you the end result of:

$$\frac{15\div 5}{40\div 5} = \frac{3}{8}$$

Apr 3, 2021
edited by Logarhythm  Apr 3, 2021