Question

complete the area model to make like - units. then add or subtract. each area model represents 1.

1. 3/4 + 1/8=

__+__=
____
3/4 = 3× /4× =

1. 1/2 - 3/8=

__-__=
____
1/2 = 1× /2× =
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eureka math™
m2 • tb • lesson 6

Explanation:

Step1: Find a common - denominator for $\frac{3}{4}+\frac{1}{8}$

The common denominator of 4 and 8 is 8. Rewrite $\frac{3}{4}$ as $\frac{3\times2}{4\times2}=\frac{6}{8}$.

Step2: Add the fractions

$\frac{6}{8}+\frac{1}{8}=\frac{6 + 1}{8}=\frac{7}{8}$

Step3: Find a common - denominator for $\frac{1}{2}-\frac{3}{8}$

The common denominator of 2 and 8 is 8. Rewrite $\frac{1}{2}$ as $\frac{1\times4}{2\times4}=\frac{4}{8}$.

Step4: Subtract the fractions

$\frac{4}{8}-\frac{3}{8}=\frac{4-3}{8}=\frac{1}{8}$

Answer:

1. $\frac{7}{8}$
2. $\frac{1}{8}$