How do you evaluate #\frac{1}{8}-(-\frac{5}{12})#?

Question

Julian Avila · Accepted Answer

#13/24# Using the order of operations we must first multiply the bracket by its coefficient; #-1# The new expression is: #1/8 + 5/12# The lowest common factor of 8 and 12 is 24. Therefore we make give both fractions the same denominator. #1/8*3/3 + 5/12*2/2# #3/24+10/24# We can now add the two fractions as they have like denominators. #13/24#

Mila Anderson · Answer

undefined To evaluate $\frac{1}{8}-(-\frac{5}{12})$, you follow these steps:

Step 1: Simplify the expression inside the parentheses by removing the negative sign: $-(-\frac{5}{12}) = \frac{5}{12}$.

Step 2: Subtract the fractions: $\frac{1}{8}-\frac{5}{12}$.

Step 3: Find a common denominator, which is the least common multiple (LCM) of 8 and 12, which is 24.

Step 4: Rewrite each fraction with the common denominator:
$\frac{1}{8} = \frac{1 \times 3}{8 \times 3} = \frac{3}{24}$,
$\frac{5}{12} = \frac{5 \times 2}{12 \times 2} = \frac{10}{24}$.

Step 5: Subtract the fractions with the common denominator:
$\frac{3}{24} - \frac{10}{24} = \frac{3 - 10}{24} = \frac{-7}{24}$.

So, $\frac{1}{8}-(-\frac{5}{12}) = -\frac{7}{24}$.