Answer:2 7/12Step-by-step explanation:−512−−93=?
Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.
The equivalent equation is
−512+93=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(-5/12, 9/3) = 12
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.
(−5/12×1/1)+(9/3×4/4)=?
Complete the multiplication and the equation becomes
−5/12+36/12=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
−5+36/12=31/12
This fraction cannot be reduced.
The fraction
31/12
is the same as
31÷12
Convert to a mixed number using
long division for 31 ÷ 12 = 2R7, so
31/12=2 7/12
Therefore:
−5/12−−9/3=2 7/12