Solve 5/13*4/7+3/7*5/13

$$\frac { 5 } { 13 } \cdot \frac { 4 } { 7 } + \frac { 3 } { 7 } \cdot \frac { 5 } { 13 }$$

Evaluate

$$\frac{5}{13}\approx 0.384615385$$

Solution Steps

Multiply \frac{5}{13} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 4}{13\times 7}+\frac{3}{7}\times \frac{5}{13}$$

Do the multiplications in the fraction \frac{5\times 4}{13\times 7}.

$$\frac{20}{91}+\frac{3}{7}\times \frac{5}{13}$$

Multiply \frac{3}{7} times \frac{5}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{20}{91}+\frac{3\times 5}{7\times 13}$$

Do the multiplications in the fraction \frac{3\times 5}{7\times 13}.

$$\frac{20}{91}+\frac{15}{91}$$

Since \frac{20}{91} and \frac{15}{91} have the same denominator, add them by adding their numerators.

$$\frac{20+15}{91}$$

Add 20 and 15 to get 35.

$$\frac{35}{91}$$

Reduce the fraction \frac{35}{91} to lowest terms by extracting and canceling out 7.

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

Factor

$$\frac{5}{13} = 0.38461538461538464$$