Question

complete the area model to make like units. then add or subtract. each area model represents 1. 1. $\frac{3}{4}+\frac{1}{8}=$___+_=_ 2. $\frac{1}{2}-\frac{3}{8}=$_ -_=___ $\frac{3}{4}=\frac{3\timessquare}{4\timessquare}=\frac{square}{square}$ $\frac{1}{2}=\frac{1\timessquare}{2\timessquare}=\frac{square}{square}$

Explanation:

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

The least - common multiple of 4 and 8 is 8. Rewrite $\frac{3}{4}$ with a denominator of 8. $\frac{3}{4}=\frac{3\times2}{4\times2}=\frac{6}{8}$.

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 least - common multiple of 2 and 8 is 8. Rewrite $\frac{1}{2}$ with a denominator of 8. $\frac{1}{2}=\frac{1\times4}{2\times4}=\frac{4}{8}$.

Step4: Subtract the fractions

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

Answer:

1. $\frac{6}{8}+\frac{1}{8}=\frac{7}{8}$
2. $\frac{4}{8}-\frac{3}{8}=\frac{1}{8}$