Solve 31/9*0.375div53/5

$$3 \frac { 1 } { 9 } \times 0.375 \div 5 \frac { 3 } { 5 }$$

Evaluate

$$\frac{5}{24}\approx 0.208333333$$

Solution Steps

Multiply 3 and 9 to get 27.

$$\frac{\frac{27+1}{9}\times 0.375}{\frac{5\times 5+3}{5}}$$

Add 27 and 1 to get 28.

$$\frac{\frac{28}{9}\times 0.375}{\frac{5\times 5+3}{5}}$$

Convert decimal number 0.375 to fraction \frac{375}{1000}. Reduce the fraction \frac{375}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{\frac{28}{9}\times \frac{3}{8}}{\frac{5\times 5+3}{5}}$$

Multiply \frac{28}{9} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{28\times 3}{9\times 8}}{\frac{5\times 5+3}{5}}$$

Do the multiplications in the fraction \frac{28\times 3}{9\times 8}.

$$\frac{\frac{84}{72}}{\frac{5\times 5+3}{5}}$$

Reduce the fraction \frac{84}{72} to lowest terms by extracting and canceling out 12.

$$\frac{\frac{7}{6}}{\frac{5\times 5+3}{5}}$$

Multiply 5 and 5 to get 25.

$$\frac{\frac{7}{6}}{\frac{25+3}{5}}$$

Add 25 and 3 to get 28.

$$\frac{\frac{7}{6}}{\frac{28}{5}}$$

Divide \frac{7}{6} by \frac{28}{5} by multiplying \frac{7}{6} by the reciprocal of \frac{28}{5}.

$$\frac{7}{6}\times \frac{5}{28}$$

Multiply \frac{7}{6} times \frac{5}{28} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 5}{6\times 28}$$

Do the multiplications in the fraction \frac{7\times 5}{6\times 28}.

$$\frac{35}{168}$$

Reduce the fraction \frac{35}{168} to lowest terms by extracting and canceling out 7.

$$\frac{5}{24}$$

Factor

$$\frac{5}{3 \cdot 2 ^ {3}} = 0.20833333333333334$$