Solve 5/7*3/8+5/8*5/7

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

Evaluate

$$\frac{5}{7}\approx 0.714285714$$

Solution Steps

Multiply \frac{5}{7} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{5\times 3}{7\times 8}.

$$\frac{15}{56}+\frac{5}{8}\times \frac{5}{7}$$

Multiply \frac{5}{8} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15}{56}+\frac{5\times 5}{8\times 7}$$

Do the multiplications in the fraction \frac{5\times 5}{8\times 7}.

$$\frac{15}{56}+\frac{25}{56}$$

Since \frac{15}{56} and \frac{25}{56} have the same denominator, add them by adding their numerators.

$$\frac{15+25}{56}$$

Add 15 and 25 to get 40.

$$\frac{40}{56}$$

Reduce the fraction \frac{40}{56} to lowest terms by extracting and canceling out 8.

$$\frac{5}{7}$$

Factor

$$\frac{5}{7} = 0.7142857142857143$$