Solve 13/8*55/7

$$1 \frac{ 3 }{ 8 } \times 5 \frac{ 5 }{ 7 }$$

Evaluate

$$\frac{55}{7}\approx 7.857142857$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+3}{8}\times \frac{5\times 7+5}{7}$$

Add 8 and 3 to get 11.

$$\frac{11}{8}\times \frac{5\times 7+5}{7}$$

Multiply 5 and 7 to get 35.

$$\frac{11}{8}\times \frac{35+5}{7}$$

Add 35 and 5 to get 40.

$$\frac{11}{8}\times \frac{40}{7}$$

Multiply \frac{11}{8} times \frac{40}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 40}{8\times 7}$$

Do the multiplications in the fraction \frac{11\times 40}{8\times 7}.

$$\frac{440}{56}$$

Reduce the fraction \frac{440}{56} to lowest terms by extracting and canceling out 8.

$$\frac{55}{7}$$

Factor

$$\frac{5 \cdot 11}{7} = 7\frac{6}{7} = 7.857142857142857$$