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

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

Evaluate

$$\frac{111}{20}=5.55$$

Solution Steps

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

$$\left(\frac{3}{8\times 4}+\frac{\frac{4\times 5+1}{5}}{7}\right)\times 8$$

Multiply 8 and 4 to get 32.

$$\left(\frac{3}{32}+\frac{\frac{4\times 5+1}{5}}{7}\right)\times 8$$

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

$$\left(\frac{3}{32}+\frac{4\times 5+1}{5\times 7}\right)\times 8$$

Multiply 4 and 5 to get 20.

$$\left(\frac{3}{32}+\frac{20+1}{5\times 7}\right)\times 8$$

Add 20 and 1 to get 21.

$$\left(\frac{3}{32}+\frac{21}{5\times 7}\right)\times 8$$

Multiply 5 and 7 to get 35.

$$\left(\frac{3}{32}+\frac{21}{35}\right)\times 8$$

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

$$\left(\frac{3}{32}+\frac{3}{5}\right)\times 8$$

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

$$\left(\frac{15}{160}+\frac{96}{160}\right)\times 8$$

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

$$\frac{15+96}{160}\times 8$$

Add 15 and 96 to get 111.

$$\frac{111}{160}\times 8$$

Express \frac{111}{160}\times 8 as a single fraction.

$$\frac{111\times 8}{160}$$

Multiply 111 and 8 to get 888.

$$\frac{888}{160}$$

Reduce the fraction \frac{888}{160} to lowest terms by extracting and canceling out 8.

$$\frac{111}{20}$$

Factor

$$\frac{3 \cdot 37}{2 ^ {2} \cdot 5} = 5\frac{11}{20} = 5.55$$