Solve 16/25*211/12div15/9=

$$\frac { 16 } { 25 } \times 2 \frac { 11 } { 12 } \div 1 \frac { 5 } { 9 } =$$

Evaluate

$$\frac{6}{5}=1.2$$

Solution Steps

Multiply 2 and 12 to get 24.

$$\frac{\frac{16}{25}\times \frac{24+11}{12}}{\frac{1\times 9+5}{9}}$$

Add 24 and 11 to get 35.

$$\frac{\frac{16}{25}\times \frac{35}{12}}{\frac{1\times 9+5}{9}}$$

Multiply \frac{16}{25} times \frac{35}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{16\times 35}{25\times 12}}{\frac{1\times 9+5}{9}}$$

Do the multiplications in the fraction \frac{16\times 35}{25\times 12}.

$$\frac{\frac{560}{300}}{\frac{1\times 9+5}{9}}$$

Reduce the fraction \frac{560}{300} to lowest terms by extracting and canceling out 20.

$$\frac{\frac{28}{15}}{\frac{1\times 9+5}{9}}$$

Multiply 1 and 9 to get 9.

$$\frac{\frac{28}{15}}{\frac{9+5}{9}}$$

Add 9 and 5 to get 14.

$$\frac{\frac{28}{15}}{\frac{14}{9}}$$

Divide \frac{28}{15} by \frac{14}{9} by multiplying \frac{28}{15} by the reciprocal of \frac{14}{9}.

$$\frac{28}{15}\times \frac{9}{14}$$

Multiply \frac{28}{15} times \frac{9}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{28\times 9}{15\times 14}$$

Do the multiplications in the fraction \frac{28\times 9}{15\times 14}.

$$\frac{252}{210}$$

Reduce the fraction \frac{252}{210} to lowest terms by extracting and canceling out 42.

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$