Solve (3/8div4+41/5div7)

$$( \frac { 3 } { 8 } \div 4 + 4 \frac { 1 } { 5 } \div 7 )$$

Evaluate

$$\frac{111}{160}=0.69375$$

Solution Steps

Express \frac{\frac{3}{8}}{4} as a single fraction.

$$\frac{3}{8\times 4}+\frac{\frac{4\times 5+1}{5}}{7}$$

Multiply 8 and 4 to get 32.

$$\frac{3}{32}+\frac{\frac{4\times 5+1}{5}}{7}$$

Express \frac{\frac{4\times 5+1}{5}}{7} as a single fraction.

$$\frac{3}{32}+\frac{4\times 5+1}{5\times 7}$$

Multiply 4 and 5 to get 20.

$$\frac{3}{32}+\frac{20+1}{5\times 7}$$

Add 20 and 1 to get 21.

$$\frac{3}{32}+\frac{21}{5\times 7}$$

Multiply 5 and 7 to get 35.

$$\frac{3}{32}+\frac{21}{35}$$

Reduce the fraction \frac{21}{35} to lowest terms by extracting and canceling out 7.

$$\frac{3}{32}+\frac{3}{5}$$

Least common multiple of 32 and 5 is 160. Convert \frac{3}{32} and \frac{3}{5} to fractions with denominator 160.

$$\frac{15}{160}+\frac{96}{160}$$

Since \frac{15}{160} and \frac{96}{160} have the same denominator, add them by adding their numerators.

$$\frac{15+96}{160}$$

Add 15 and 96 to get 111.

$$\frac{111}{160}$$

Factor

$$\frac{3 \cdot 37}{2 ^ {5} \cdot 5} = 0.69375$$