Question

Add the fractions and simplify 5 2/5 + 2 10/13=

Answer 1

Simple....

you have:

$5 \frac{2}{5} +2 \frac{10}{13}$

to convert them into improper fractions:

1.) Take whole number*denominator 

(5*5=25)

2.) Take what you got...and add the numerator

(25+2=27)

3.) Use the original denominator

$\frac{27}{5}$

Do the same to the other one...

2*13=26

26+10=36

$\frac{36}{13}$

Now..add...

$\frac{27}{5} + \frac{36}{13}$

But..you need a common denominator!

$\frac{27}{5} * \frac{13}{13}= \frac{351}{65}$

$\frac{36}{13} * \frac{5}{5} = \frac{180}{65}$

Now you can add!

$\frac{351}{65} + \frac{180}{65} = \frac{531}{65}$

When simplified....

$8 \frac{11}{65}$

Thus, your answer.