# This question is for my 11 year old using fractions to figure answer......she needs to find out what 1/3 of 33 3/4.....I do not want answer.....just how to set up the problem so that I may help her....how do you divide fractions?

$11 \frac{1}{4}$

#### Explanation:

Here, you are not dividing fractions. You are actually multiplying them.

The expression is $\frac{1}{3} \cdot 33 \frac{3}{4}$. That would equal $11 \frac{1}{4}$.

One way to solve this would be to convert $33 \frac{3}{4}$ into an improper fraction.

$\frac{1}{\cancel{3}} \cdot \frac{\cancel{135}}{4} = \frac{45}{4} = 11 \frac{1}{4}$.

May 22, 2018

Dividing fractions is easy!

#### Explanation:

When you divide a fraction by another you should use the KFC method. It's also easy to remember!
K - keep
F - flip the $\cdot$ into a $\div$
C - change the denominator and numerator around of the second fraction

For example if you have: (moving steps guide)
$\frac{3}{4} \div \frac{5}{8}$ (if you have a number next to the fraction you need to make it improper or top-heavy)

K - Keep the first fraction the same.
$\textcolor{red}{\frac{3}{4}} \div \frac{5}{8}$
F - flip the $\cdot$ into a $\div$
$\frac{3}{4} \textcolor{red}{\cdot} \frac{5}{8}$
C - change the denominator and numerator around of the second fraction
$\frac{3}{4} \cdot \textcolor{red}{\frac{8}{5}}$

Then you can solve the multiplication.
$\frac{3}{4} \cdot \frac{8}{5} = \frac{3 \cdot 8}{4 \cdot 5} = \frac{18}{20} = \frac{9}{10}$

May 22, 2018

If you want $\frac{1}{3}$ of 33$\frac{3}{4}$ then you multiply them

$\frac{1}{3} \times \frac{135}{4}$ (mixed numbers are turned into improper or top

heavy fractions.)

Then you multiply the numerators together and you multiply the denominators together. Cancel down your answer.

If you are dividing with fractions:

$\frac{2}{3} \div \frac{5}{7} = \frac{2}{3} \times \frac{7}{5} = \frac{2 \times 7}{3 \times 5} = \frac{14}{15}$

The fraction you are dividing by is turned upside down and you multiply.[KFC-Keep Flip Change]

If you have a mixed number then it has to be changed to a top heavy or improper fraction before you flip anything.

$3 \frac{2}{5} \div \frac{4}{7} = \frac{17}{5} \div \frac{4}{7} = \frac{17}{5} \times \frac{7}{4}$

If you have a whole number, put it over one and do the same

$5 \div \frac{3}{8} = \frac{5}{1} \div \frac{3}{8} = \frac{5}{1} \times \frac{8}{3}$
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