Solve 171/2div7/64=

$$17 \frac { 1 } { 2 } \div \frac { 7 } { 64 } =$$

Evaluate

$$160$$

Solution Steps

Divide \frac{17\times 2+1}{2} by \frac{7}{64} by multiplying \frac{17\times 2+1}{2} by the reciprocal of \frac{7}{64}.

$$\frac{\left(17\times 2+1\right)\times 64}{2\times 7}$$

Cancel out 2 in both numerator and denominator.

$$\frac{32\left(1+2\times 17\right)}{7}$$

Multiply 2 and 17 to get 34.

$$\frac{32\left(1+34\right)}{7}$$

Add 1 and 34 to get 35.

$$\frac{32\times 35}{7}$$

Multiply 32 and 35 to get 1120.

$$\frac{1120}{7}$$

Divide 1120 by 7 to get 160.

$$160$$

Factor

$$2^{5}\times 5$$