Solve (4)/(32)+(6)/(32)=(10)/(32)= | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{ 4 }{ 32 } + \frac{ 6 }{ 32 } = \frac{ 10 }{ 32 } =$$

Verify

$\text{true}$

Solution Steps

Reduce the fraction $\frac{4}{32}$ to lowest terms by extracting and canceling out $4$.

$$\frac{1}{8}+\frac{6}{32}=\frac{10}{32}$$

Reduce the fraction $\frac{6}{32}$ to lowest terms by extracting and canceling out $2$.

$$\frac{1}{8}+\frac{3}{16}=\frac{10}{32}$$

Least common multiple of $8$ and $16$ is $16$. Convert $\frac{1}{8}$ and $\frac{3}{16}$ to fractions with denominator $16$.

$$\frac{2}{16}+\frac{3}{16}=\frac{10}{32}$$

Since $\frac{2}{16}$ and $\frac{3}{16}$ have the same denominator, add them by adding their numerators.

$$\frac{2+3}{16}=\frac{10}{32}$$

Add $2$ and $3$ to get $5$.

$$\frac{5}{16}=\frac{10}{32}$$

Reduce the fraction $\frac{10}{32}$ to lowest terms by extracting and canceling out $2$.

$$\frac{5}{16}=\frac{5}{16}$$

Compare $\frac{5}{16}$ and $\frac{5}{16}$.

$$\text{true}$$