Solve 81/8:55/12

$$8 \frac { 1 } { 8 } : 5 \frac { 5 } { 12 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Divide \frac{8\times 8+1}{8} by \frac{5\times 12+5}{12} by multiplying \frac{8\times 8+1}{8} by the reciprocal of \frac{5\times 12+5}{12}.

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

Cancel out 4 in both numerator and denominator.

$$\frac{3\left(1+8\times 8\right)}{2\left(5+5\times 12\right)}$$

Multiply 8 and 8 to get 64.

$$\frac{3\left(1+64\right)}{2\left(5+5\times 12\right)}$$

Add 1 and 64 to get 65.

$$\frac{3\times 65}{2\left(5+5\times 12\right)}$$

Multiply 3 and 65 to get 195.

$$\frac{195}{2\left(5+5\times 12\right)}$$

Multiply 5 and 12 to get 60.

$$\frac{195}{2\left(5+60\right)}$$

Add 5 and 60 to get 65.

$$\frac{195}{2\times 65}$$

Multiply 2 and 65 to get 130.

$$\frac{195}{130}$$

Reduce the fraction \frac{195}{130} to lowest terms by extracting and canceling out 65.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$