Solve 15/8*24/13

$$1 \frac { 5 } { 8 } \times 2 \frac { 4 } { 13 }$$

Evaluate

$$\frac{15}{4}=3.75$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+5}{8}\times \frac{2\times 13+4}{13}$$

Add 8 and 5 to get 13.

$$\frac{13}{8}\times \frac{2\times 13+4}{13}$$

Multiply 2 and 13 to get 26.

$$\frac{13}{8}\times \frac{26+4}{13}$$

Add 26 and 4 to get 30.

$$\frac{13}{8}\times \frac{30}{13}$$

Multiply \frac{13}{8} times \frac{30}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 30}{8\times 13}$$

Cancel out 13 in both numerator and denominator.

$$\frac{30}{8}$$

Reduce the fraction \frac{30}{8} to lowest terms by extracting and canceling out 2.

$$\frac{15}{4}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$