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
