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