Solve 7/16div6div25/8

$$\frac { 7 } { 16 } \div 6 \div 2 \frac { 5 } { 8 }$$

Evaluate

$$\frac{1}{36}\approx 0.027777778$$

Solution Steps

Divide \frac{\frac{7}{16}}{6} by \frac{2\times 8+5}{8} by multiplying \frac{\frac{7}{16}}{6} by the reciprocal of \frac{2\times 8+5}{8}.

$$\frac{\frac{7}{16}\times 8}{6\left(2\times 8+5\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{\frac{7}{16}\times 4}{3\left(5+2\times 8\right)}$$

Express \frac{7}{16}\times 4 as a single fraction.

$$\frac{\frac{7\times 4}{16}}{3\left(5+2\times 8\right)}$$

Multiply 7 and 4 to get 28.

$$\frac{\frac{28}{16}}{3\left(5+2\times 8\right)}$$

Reduce the fraction \frac{28}{16} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{7}{4}}{3\left(5+2\times 8\right)}$$

Multiply 2 and 8 to get 16.

$$\frac{\frac{7}{4}}{3\left(5+16\right)}$$

Add 5 and 16 to get 21.

$$\frac{\frac{7}{4}}{3\times 21}$$

Multiply 3 and 21 to get 63.

$$\frac{\frac{7}{4}}{63}$$

Express \frac{\frac{7}{4}}{63} as a single fraction.

$$\frac{7}{4\times 63}$$

Multiply 4 and 63 to get 252.

$$\frac{7}{252}$$

Reduce the fraction \frac{7}{252} to lowest terms by extracting and canceling out 7.

$$\frac{1}{36}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3 ^ {2}} = 0.027777777777777776$$