Solve 5/8div16/7div14/11

$$\frac { 5 } { 8 } \div \frac { 16 } { 7 } \div \frac { 14 } { 11 }$$

Evaluate

$$\frac{55}{256}=0.21484375$$

Solution Steps

Divide \frac{\frac{5}{8}}{\frac{16}{7}} by \frac{14}{11} by multiplying \frac{\frac{5}{8}}{\frac{16}{7}} by the reciprocal of \frac{14}{11}.

$$\frac{\frac{5}{8}\times 11}{\frac{16}{7}\times 14}$$

Express \frac{5}{8}\times 11 as a single fraction.

$$\frac{\frac{5\times 11}{8}}{\frac{16}{7}\times 14}$$

Multiply 5 and 11 to get 55.

$$\frac{\frac{55}{8}}{\frac{16}{7}\times 14}$$

Express \frac{16}{7}\times 14 as a single fraction.

$$\frac{\frac{55}{8}}{\frac{16\times 14}{7}}$$

Multiply 16 and 14 to get 224.

$$\frac{\frac{55}{8}}{\frac{224}{7}}$$

Divide 224 by 7 to get 32.

$$\frac{\frac{55}{8}}{32}$$

Express \frac{\frac{55}{8}}{32} as a single fraction.

$$\frac{55}{8\times 32}$$

Multiply 8 and 32 to get 256.

$$\frac{55}{256}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {8}} = 0.21484375$$