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How do you change a fraction into a mixed number?

Guest Jun 16, 2017
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 #1
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Pretty Simple:

 

Take a mixed number, for example \(\frac{31}{3}\)

 

When you are converting a mixed number to a fraction we use 

\(a+\frac{N}{D}=\frac{aD+N}{D}\)

 

So, lets split up 31, into 2 parts: The multiple and the remainder. 31 divided by 3 gives 10, with a remainder of one. Lets write this:

\(\frac{31}{3} = \frac{30+1}{3} = \frac{(10\cdot3)+1}{3} = 10+\frac{1}{3}\)

 

Hope this helps!

-M

Guest Jun 17, 2017
 #2
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Thanks Guest :)

 

\(\frac{31}{3}\\ 3\times 10=30 \;\;so\\ \text{3 goes into 31, 10 times with remainder 1 }\\ \text{You have to put the 1 over the 3 that you are dividing by}\\ \frac{31}{3}=10\frac{1}{3} \)

 

 

This is what answer guest did - it is right too :)

\(\frac{31}{3}=\frac{30+1}{3}=\frac{30}{3}+\frac{1}{3}=10\frac{1}{3}\)

Melody  Jun 17, 2017

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