Solve 3/4*5/7+1/8*5/7

$$\frac { 3 } { 4 } \times \frac { 5 } { 7 } + \frac { 1 } { 8 } \times \frac { 5 } { 7 }$$

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Multiply \frac{3}{4} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{4\times 7}+\frac{1}{8}\times \frac{5}{7}$$

Do the multiplications in the fraction \frac{3\times 5}{4\times 7}.

$$\frac{15}{28}+\frac{1}{8}\times \frac{5}{7}$$

Multiply \frac{1}{8} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15}{28}+\frac{1\times 5}{8\times 7}$$

Do the multiplications in the fraction \frac{1\times 5}{8\times 7}.

$$\frac{15}{28}+\frac{5}{56}$$

Least common multiple of 28 and 56 is 56. Convert \frac{15}{28} and \frac{5}{56} to fractions with denominator 56.

$$\frac{30}{56}+\frac{5}{56}$$

Since \frac{30}{56} and \frac{5}{56} have the same denominator, add them by adding their numerators.

$$\frac{30+5}{56}$$

Add 30 and 5 to get 35.

$$\frac{35}{56}$$

Reduce the fraction \frac{35}{56} to lowest terms by extracting and canceling out 7.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$