Question

Show all your work! Thank you!!!!

Answer 1

Hi!

To solve this, we divide 790 by $33 \frac{1}{9}$. 

First, turn $33 \frac{1}{9}$ into an improper fraction, by multiplying the whole number by the denominator, then adding that to the numerator. Then that number becomes the new numerator, and the denominator stays the same. 

33 * 9 + 1 = 298
$\frac{298}{9}$

Now turn 790 into a fraction.

Any whole number can be turned into a fraction simply by putting it over 1. 
$\frac{790}{1}$

Now divide the fractions. 

When dividing fractions, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal is a flipped fraction. So the reciprocal of 1/2 is 2/1.

$\frac{790}{1} * \frac{9}{298}$
$\frac{7110}{298}$
Simplify the fraction.
$\frac{3555}{149}$ or $23\frac{128}{149}$

The answer is $\frac{3555}{149}$ or $23\frac{128}{149}$

Hope this helps! :)
-Peredhel