# What is the value of? \frac{1}{3}\div4

What is the value of? $\frac{1}{3}÷4$
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limegreenleosp9
Step 1
You can work it out using the usual fraction division process, or just through what is happening
If you take one third and cut it in half ( same as dividing by 2), then each piece will be $\frac{1}{6}$ (More pieces, therefore they get smaller)
If you take $\frac{1}{6}$ and cut it in half, the pieces get smaller again. Each piece will be $\frac{1}{12}$
$\frac{1}{3}÷4=\frac{1}{3}÷2÷2=\frac{1}{12}$
A nifty short cut: To divide a fraction in half, either halve the top (if it is even) or double the bottom:
$\frac{2}{3}÷2=\frac{1}{3}$
$\frac{4}{11}÷2=\frac{2}{11}$ pretty obvious if you think about it!!
$\frac{5}{9}÷2=\frac{5}{18}$
$\frac{7}{8}÷2=\frac{7}{16}$
In the same way: To divide a fraction by 3 in half, either divide the by 3 (if possible) or treble the bottom:
$\frac{6}{11}÷=\frac{2}{11}$ share out 6 portions equally.
$\frac{5}{8}÷3=\frac{5}{24}$
###### Not exactly what you’re looking for?
liofila3w7
Step 1
What you do is the KCF method. Keep, Change, Flip. You would keep the $\frac{1}{3}$. Then you change the divide sign to a multiply sign.
Then you flip the 4 to $\frac{1}{4}$.
You do that since $\frac{1}{4}$ is the reciprocal of 4
$\frac{1}{3}÷4=\frac{1}{3}×\frac{1}{4}$