Solve 63/4div73/8

$$6 \frac { 3 } { 4 } \div 7 \frac { 3 } { 8 }$$

Evaluate

$$\frac{54}{59}\approx 0.915254237$$

Solution Steps

Divide \frac{6\times 4+3}{4} by \frac{7\times 8+3}{8} by multiplying \frac{6\times 4+3}{4} by the reciprocal of \frac{7\times 8+3}{8}.

$$\frac{\left(6\times 4+3\right)\times 8}{4\left(7\times 8+3\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{2\left(3+4\times 6\right)}{3+7\times 8}$$

Multiply 4 and 6 to get 24.

$$\frac{2\left(3+24\right)}{3+7\times 8}$$

Add 3 and 24 to get 27.

$$\frac{2\times 27}{3+7\times 8}$$

Multiply 2 and 27 to get 54.

$$\frac{54}{3+7\times 8}$$

Multiply 7 and 8 to get 56.

$$\frac{54}{3+56}$$

Add 3 and 56 to get 59.

$$\frac{54}{59}$$

Factor

$$\frac{2 \cdot 3 ^ {3}}{59} = 0.9152542372881356$$