Solve 73/5div13/10*25/6

$$7 \frac { 3 } { 5 } \div 1 \frac { 3 } { 10 } \times 2 \frac { 5 } { 6 }$$

Evaluate

$$\frac{646}{39}\approx 16.564102564$$

Solution Steps

Divide \frac{7\times 5+3}{5} by \frac{1\times 10+3}{10} by multiplying \frac{7\times 5+3}{5} by the reciprocal of \frac{1\times 10+3}{10}.

$$\frac{\left(7\times 5+3\right)\times 10}{5\left(1\times 10+3\right)}\times \frac{2\times 6+5}{6}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2\left(3+5\times 7\right)}{3+10}\times \frac{2\times 6+5}{6}$$

Multiply 5 and 7 to get 35.

$$\frac{2\left(3+35\right)}{3+10}\times \frac{2\times 6+5}{6}$$

Add 3 and 35 to get 38.

$$\frac{2\times 38}{3+10}\times \frac{2\times 6+5}{6}$$

Multiply 2 and 38 to get 76.

$$\frac{76}{3+10}\times \frac{2\times 6+5}{6}$$

Add 3 and 10 to get 13.

$$\frac{76}{13}\times \frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{76}{13}\times \frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$\frac{76}{13}\times \frac{17}{6}$$

Multiply \frac{76}{13} times \frac{17}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{76\times 17}{13\times 6}$$

Do the multiplications in the fraction \frac{76\times 17}{13\times 6}.

$$\frac{1292}{78}$$

Reduce the fraction \frac{1292}{78} to lowest terms by extracting and canceling out 2.

$$\frac{646}{39}$$

Factor

$$\frac{2 \cdot 17 \cdot 19}{3 \cdot 13} = 16\frac{22}{39} = 16.564102564102566$$