Solve 43/8div65/12

$$4 \frac { 3 } { 8 } \div 6 \frac { 5 } { 12 }$$

Evaluate

$$\frac{15}{22}\approx 0.681818182$$

Solution Steps

Divide \frac{4\times 8+3}{8} by \frac{6\times 12+5}{12} by multiplying \frac{4\times 8+3}{8} by the reciprocal of \frac{6\times 12+5}{12}.

$$\frac{\left(4\times 8+3\right)\times 12}{8\left(6\times 12+5\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{3\left(3+4\times 8\right)}{2\left(5+6\times 12\right)}$$

Multiply 4 and 8 to get 32.

$$\frac{3\left(3+32\right)}{2\left(5+6\times 12\right)}$$

Add 3 and 32 to get 35.

$$\frac{3\times 35}{2\left(5+6\times 12\right)}$$

Multiply 3 and 35 to get 105.

$$\frac{105}{2\left(5+6\times 12\right)}$$

Multiply 6 and 12 to get 72.

$$\frac{105}{2\left(5+72\right)}$$

Add 5 and 72 to get 77.

$$\frac{105}{2\times 77}$$

Multiply 2 and 77 to get 154.

$$\frac{105}{154}$$

Reduce the fraction \frac{105}{154} to lowest terms by extracting and canceling out 7.

$$\frac{15}{22}$$

Factor

$$\frac{3 \cdot 5}{2 \cdot 11} = 0.6818181818181818$$