Question

add.
$-dfrac{1}{4}+dfrac{5}{7}$
write your answer in simplest form.

Explanation:

Step1: Find a common denominator

The denominators are 4 and 7, and their least common denominator is $4\times7 = 28$.
Rewrite the fractions with the common denominator:
$-\frac{1}{4}=-\frac{1\times7}{4\times7}=-\frac{7}{28}$
$\frac{5}{7}=\frac{5\times4}{7\times4}=\frac{20}{28}$

Step2: Add the fractions

Now add the two fractions:
$-\frac{7}{28}+\frac{20}{28}=\frac{-7 + 20}{28}=\frac{13}{28}$

Answer:

$\frac{13}{28}$