Question

Hello! I need the answer to the question showed in the picture below

Answer 1

Answer:Answer:

−78+−12=−138

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-7/8, -1/2) = 8

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−78×11)+(−12×44)=?

Complete the multiplication and the equation becomes

−78+−48=?

The two fractions now have like denominators so you can add the numerators.

Then:

−7+−48=−118

This fraction cannot be reduced.

The fraction

−118

is the same as

−11÷8

Convert to a mixed number using

long division for -11 ÷ 8 = -1R3, so

−118=−138

Therefore:

−78+−12=−138

Solution by Formulas

Apply the fractions formula for addition, to

−78+−12

and solve

(−7×2)+(−1×8)8×2

=−14+−816

=−2216

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(22,16) = 2

−22÷216÷2=−118

Convert to a mixed number using

long division for -11 ÷ 8 = -1R3, so

−118=−138

Therefore:

−78+−12=−138

Answer 2

Answer: -11/8

you need to find the common denominator which is 8 so the equation changes to
-7/8 + (-4/8)

since both are negatives you just add them together and then put your answer as a negative and get
-11/8

which is the answer as an improper fraction