Solve 8+48div3+6/13div5*2

$$\frac { 8 + 48 \div 3 + 6 } { 13 \div 5 \times 2 }$$

Evaluate

$$\frac{75}{13}\approx 5.769230769$$

Solution Steps

Divide 48 by 3 to get 16.

$$\frac{8+16+6}{\frac{13}{5}\times 2}$$

Add 8 and 16 to get 24.

$$\frac{24+6}{\frac{13}{5}\times 2}$$

Add 24 and 6 to get 30.

$$\frac{30}{\frac{13}{5}\times 2}$$

Express \frac{13}{5}\times 2 as a single fraction.

$$\frac{30}{\frac{13\times 2}{5}}$$

Multiply 13 and 2 to get 26.

$$\frac{30}{\frac{26}{5}}$$

Divide 30 by \frac{26}{5} by multiplying 30 by the reciprocal of \frac{26}{5}.

$$30\times \frac{5}{26}$$

Express 30\times \frac{5}{26} as a single fraction.

$$\frac{30\times 5}{26}$$

Multiply 30 and 5 to get 150.

$$\frac{150}{26}$$

Reduce the fraction \frac{150}{26} to lowest terms by extracting and canceling out 2.

$$\frac{75}{13}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{13} = 5\frac{10}{13} = 5.769230769230769$$