Solve 8.3*53/5div15/4

$$8.3 \times 5 \frac { 3 } { 5 } \div \frac { 15 } { 4 }$$

Evaluate

$$\frac{4648}{375}\approx 12.394666667$$

Solution Steps

Multiply 5 and 5 to get 25.

$$\frac{8.3\times \frac{25+3}{5}}{\frac{15}{4}}$$

Add 25 and 3 to get 28.

$$\frac{8.3\times \frac{28}{5}}{\frac{15}{4}}$$

Convert decimal number 8.3 to fraction \frac{83}{10}.

$$\frac{\frac{83}{10}\times \frac{28}{5}}{\frac{15}{4}}$$

Multiply \frac{83}{10} times \frac{28}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{83\times 28}{10\times 5}}{\frac{15}{4}}$$

Do the multiplications in the fraction \frac{83\times 28}{10\times 5}.

$$\frac{\frac{2324}{50}}{\frac{15}{4}}$$

Reduce the fraction \frac{2324}{50} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1162}{25}}{\frac{15}{4}}$$

Divide \frac{1162}{25} by \frac{15}{4} by multiplying \frac{1162}{25} by the reciprocal of \frac{15}{4}.

$$\frac{1162}{25}\times \frac{4}{15}$$

Multiply \frac{1162}{25} times \frac{4}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1162\times 4}{25\times 15}$$

Do the multiplications in the fraction \frac{1162\times 4}{25\times 15}.

$$\frac{4648}{375}$$

Factor

$$\frac{7 \cdot 83 \cdot 2 ^ {3}}{3 \cdot 5 ^ {3}} = 12\frac{148}{375} = 12.394666666666666$$