Solve 5/7*8/9-1/9*5/7

$$\frac { 5 } { 7 } \times \frac { 8 } { 9 } - \frac { 1 } { 9 } \times \frac { 5 } { 7 }$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

Multiply \frac{5}{7} times \frac{8}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 8}{7\times 9}-\frac{1}{9}\times \frac{5}{7}$$

Do the multiplications in the fraction \frac{5\times 8}{7\times 9}.

$$\frac{40}{63}-\frac{1}{9}\times \frac{5}{7}$$

Multiply \frac{1}{9} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{40}{63}-\frac{1\times 5}{9\times 7}$$

Do the multiplications in the fraction \frac{1\times 5}{9\times 7}.

$$\frac{40}{63}-\frac{5}{63}$$

Since \frac{40}{63} and \frac{5}{63} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-5}{63}$$

Subtract 5 from 40 to get 35.

$$\frac{35}{63}$$

Reduce the fraction \frac{35}{63} to lowest terms by extracting and canceling out 7.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$