# Question #ee2c1

Feb 6, 2018

$4 \mathmr{and} \frac{4}{35}$ or $\frac{144}{35}$ depending on what you want to leave your answer as...

(improper fraction or mixed fraction)

#### Explanation:

assuming you mean mixed fractions or $2$ and $\frac{4}{7}$ and $1$ and $\frac{3}{5}$

Change these into an improper fraction (numerator bigger than denominator):

$2 \mathmr{and} \frac{4}{7}$=$\frac{14}{7} + \frac{4}{7} = \frac{18}{7}$

$1 \mathmr{and} \frac{3}{5}$=$\frac{5}{5} + \frac{3}{5} = \frac{8}{5}$

Then multiply the results from this:

$\frac{18}{7} \times \frac{8}{5}$

Multiplying numerators:

$18 \times 8 = 144$

Multiplying numerators:

$5 \times 7 = 35$

Then put the first result over the second, again giving a improper fraction:

$\frac{144}{35}$

This is the fully simplified improper fraction. You can leave it at this, or you could turn it back into a mixed fraction:

$35 \times 4 = 140$

$\therefore$ the mixed number is $4$

Minus the original number by the number given:

$144 - 140 = 4$ This is the numerator

Also, the denominator stays the same. Giving:

$4 \mathmr{and} \frac{4}{35}$ or as I said you could leave it as an improper fraction as $\frac{144}{35}$