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add. $-dfrac{1}{4}+dfrac{7}{8}$ write your answer in simplest form.

Question

add.
$-dfrac{1}{4}+dfrac{7}{8}$
write your answer in simplest form.

Explanation:

Step1: Find a common denominator

The denominators are 4 and 8. The least common denominator is 8. Rewrite \(-\frac{1}{4}\) with denominator 8: \(-\frac{1}{4}=-\frac{1\times2}{4\times2}=-\frac{2}{8}\)

Step2: Add the fractions

Now add \(-\frac{2}{8}\) and \(\frac{7}{8}\): \(-\frac{2}{8}+\frac{7}{8}=\frac{-2 + 7}{8}=\frac{5}{8}\)

Answer:

\(\frac{5}{8}\)