Solve 55/12div28/9

$$5 \frac { 5 } { 12 } \div 2 \frac { 8 } { 9 }$$

Evaluate

$$\frac{15}{8}=1.875$$

Solution Steps

Divide \frac{5\times 12+5}{12} by \frac{2\times 9+8}{9} by multiplying \frac{5\times 12+5}{12} by the reciprocal of \frac{2\times 9+8}{9}.

$$\frac{\left(5\times 12+5\right)\times 9}{12\left(2\times 9+8\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{3\left(5+5\times 12\right)}{4\left(8+2\times 9\right)}$$

Multiply 5 and 12 to get 60.

$$\frac{3\left(5+60\right)}{4\left(8+2\times 9\right)}$$

Add 5 and 60 to get 65.

$$\frac{3\times 65}{4\left(8+2\times 9\right)}$$

Multiply 3 and 65 to get 195.

$$\frac{195}{4\left(8+2\times 9\right)}$$

Multiply 2 and 9 to get 18.

$$\frac{195}{4\left(8+18\right)}$$

Add 8 and 18 to get 26.

$$\frac{195}{4\times 26}$$

Multiply 4 and 26 to get 104.

$$\frac{195}{104}$$

Reduce the fraction \frac{195}{104} to lowest terms by extracting and canceling out 13.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$