Solve 43/16/frac{7{8}}

$$\frac { 4 \frac { 3 } { 16 } } { \frac { 7 } { 8 } }$$

Evaluate

$$\frac{67}{14}\approx 4.785714286$$

Solution Steps

Divide \frac{4\times 16+3}{16} by \frac{7}{8} by multiplying \frac{4\times 16+3}{16} by the reciprocal of \frac{7}{8}.

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

Cancel out 8 in both numerator and denominator.

$$\frac{3+4\times 16}{2\times 7}$$

Multiply 4 and 16 to get 64.

$$\frac{3+64}{2\times 7}$$

Add 3 and 64 to get 67.

$$\frac{67}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$\frac{67}{14}$$

Factor

$$\frac{67}{2 \cdot 7} = 4\frac{11}{14} = 4.785714285714286$$