Question

What is 2/5 plus 4/3 divided by 3/5 simplified?

Answer 1

$\frac{2}{5}+\frac{\frac{4}{3}}{\frac{3}{5}}$

$\frac{2}{5}+\frac{20}{9}$

$\frac{18+20}{9}=\boxed{\frac{38}{9}}$

Answer 2

First, let's start with 2/5 + 4/3.

To Add fractions you need to find a common denominator, in this case the common denominator is 15 ( 5 x 3 = 15, 3 x 5 = 15 ).

If we do something to the bottom we have to do something to the top.

Let's start with 2/5.

We multiplied 5 by 3 to get 15, so we need to multiply 2 by 3 as well.

2 x 3 = 6 so now we have 6/15.

Next let's do 4/3.

We multiplied 3 by 5 to get 15, so now we need to multiply 4 by 5.

4 x 5 = 20 so now we have 20/15.

Now we add (when adding, we only add the top, or the front numbers, together).

6/15 + 20/15 = 26/15

For dividing fractions, we do not need a common denominator. We will simply multiply 26/15 by the inverse of 3/5 which is 5/3

26/15 x 5/3 = 130/45

130/45 simplifies to 26/9 or 2 - 8/9

Hope this helps!