Add. −5/12+(−3/4) Enter your answer in the box as a fraction or mixed number in simplest form.

Question

asked Mar 4, 2018 221k views

2 Answers

Alex Quintero · Answer 1 · 2018-03-06T07:25:25+0000

Hi there!

The question is asking us to add the following fractions:

$\sf{-(5)/(12)+\bigg(-(3)/(4)\bigg)$ . We rewrite this as
$\sf{-(5)/(12)-(3)/(4)}$ .

The next step is to find the LCD (Least common denominator). That is 12:

$\sf{-(5)/(12)-(3*3)/(4*3)}$

$\sf{-(5)/(12)-(9)/(12)}$

Simplify.

$\sf{-(5+9)/(12)}=(14)/(12)}=(7)/(6)=1(1)/(6)}$

The answer, as an improper fraction, is 7/6; as a mixed number, it is 1 + 1/6.

Have a fantastic day!