Solve 61/2div85/8

$$6 \frac { 1 } { 2 } \div 8 \frac { 5 } { 8 }$$

Evaluate

$$\frac{52}{69}\approx 0.753623188$$

Solution Steps

Divide \frac{6\times 2+1}{2} by \frac{8\times 8+5}{8} by multiplying \frac{6\times 2+1}{2} by the reciprocal of \frac{8\times 8+5}{8}.

$$\frac{\left(6\times 2+1\right)\times 8}{2\left(8\times 8+5\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{4\left(1+2\times 6\right)}{5+8\times 8}$$

Multiply 2 and 6 to get 12.

$$\frac{4\left(1+12\right)}{5+8\times 8}$$

Add 1 and 12 to get 13.

$$\frac{4\times 13}{5+8\times 8}$$

Multiply 4 and 13 to get 52.

$$\frac{52}{5+8\times 8}$$

Multiply 8 and 8 to get 64.

$$\frac{52}{5+64}$$

Add 5 and 64 to get 69.

$$\frac{52}{69}$$

Factor

$$\frac{2 ^ {2} \cdot 13}{3 \cdot 23} = 0.7536231884057971$$