Solve 13/8*15/8*24/13

$$1 \frac { 3 } { 8 } \times 1 \frac { 5 } { 8 } \times 2 \frac { 4 } { 13 }$$

Evaluate

$$\frac{165}{32}=5.15625$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+3}{8}\times \frac{1\times 8+5}{8}\times \frac{2\times 13+4}{13}$$

Add 8 and 3 to get 11.

$$\frac{11}{8}\times \frac{1\times 8+5}{8}\times \frac{2\times 13+4}{13}$$

Multiply 1 and 8 to get 8.

$$\frac{11}{8}\times \frac{8+5}{8}\times \frac{2\times 13+4}{13}$$

Add 8 and 5 to get 13.

$$\frac{11}{8}\times \frac{13}{8}\times \frac{2\times 13+4}{13}$$

Multiply \frac{11}{8} times \frac{13}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 13}{8\times 8}\times \frac{2\times 13+4}{13}$$

Do the multiplications in the fraction \frac{11\times 13}{8\times 8}.

$$\frac{143}{64}\times \frac{2\times 13+4}{13}$$

Multiply 2 and 13 to get 26.

$$\frac{143}{64}\times \frac{26+4}{13}$$

Add 26 and 4 to get 30.

$$\frac{143}{64}\times \frac{30}{13}$$

Multiply \frac{143}{64} times \frac{30}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{143\times 30}{64\times 13}$$

Do the multiplications in the fraction \frac{143\times 30}{64\times 13}.

$$\frac{4290}{832}$$

Reduce the fraction \frac{4290}{832} to lowest terms by extracting and canceling out 26.

$$\frac{165}{32}$$

Factor

$$\frac{3 \cdot 5 \cdot 11}{2 ^ {5}} = 5\frac{5}{32} = 5.15625$$