Solve 102/5*23/4div13

$$10 \frac { 2 } { 5 } \times 2 \frac { 3 } { 4 } \div 13$$

Evaluate

$$\frac{11}{5}=2.2$$

Solution Steps

Multiply 10 and 5 to get 50.

$$\frac{\frac{50+2}{5}\times \frac{2\times 4+3}{4}}{13}$$

Add 50 and 2 to get 52.

$$\frac{\frac{52}{5}\times \frac{2\times 4+3}{4}}{13}$$

Multiply 2 and 4 to get 8.

$$\frac{\frac{52}{5}\times \frac{8+3}{4}}{13}$$

Add 8 and 3 to get 11.

$$\frac{\frac{52}{5}\times \frac{11}{4}}{13}$$

Multiply \frac{52}{5} times \frac{11}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{52\times 11}{5\times 4}}{13}$$

Do the multiplications in the fraction \frac{52\times 11}{5\times 4}.

$$\frac{\frac{572}{20}}{13}$$

Reduce the fraction \frac{572}{20} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{143}{5}}{13}$$

Express \frac{\frac{143}{5}}{13} as a single fraction.

$$\frac{143}{5\times 13}$$

Multiply 5 and 13 to get 65.

$$\frac{143}{65}$$

Reduce the fraction \frac{143}{65} to lowest terms by extracting and canceling out 13.

$$\frac{11}{5}$$

Factor

$$\frac{11}{5} = 2\frac{1}{5} = 2.2$$