Solve (3)/(5)+(3)/(8)\div(6)/(4) | Equatix

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Question

$$\frac{ 3 }{ 5 } + \frac{ 3 }{ 8 } \div \frac{ 6 }{ 4 }$$

$\frac{17}{20}=0.85$

Divide $\frac{3}{8}$ by $\frac{6}{4}$ by multiplying $\frac{3}{8}$ by the reciprocal of $\frac{6}{4}$.

$$\frac{3}{5}+\frac{3\times 4}{8\times 6}$$

Cancel out $3\times 4$ in both numerator and denominator.

$$\frac{3}{5}+\frac{1}{2\times 2}$$

Multiply $2$ and $2$ to get $4$.

$$\frac{3}{5}+\frac{1}{4}$$

Least common multiple of $5$ and $4$ is $20$. Convert $\frac{3}{5}$ and $\frac{1}{4}$ to fractions with denominator $20$.

$$\frac{12}{20}+\frac{5}{20}$$

Since $\frac{12}{20}$ and $\frac{5}{20}$ have the same denominator, add them by adding their numerators.

$$\frac{12+5}{20}$$

Add $12$ and $5$ to get $17$.

$$\frac{17}{20}$$

$\frac{17}{2 ^ {2} \cdot 5} = 0.85$