Solve 1-8/10*7/9

$$1- \frac{ 8 }{ 10 } \times \frac{ 7 }{ 9 }$$

Evaluate

$$\frac{17}{45}\approx 0.377777778$$

Solution Steps

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$1-\frac{4}{5}\times \frac{7}{9}$$

Multiply \frac{4}{5} times \frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{4\times 7}{5\times 9}$$

Do the multiplications in the fraction \frac{4\times 7}{5\times 9}.

$$1-\frac{28}{45}$$

Convert 1 to fraction \frac{45}{45}.

$$\frac{45}{45}-\frac{28}{45}$$

Since \frac{45}{45} and \frac{28}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-28}{45}$$

Subtract 28 from 45 to get 17.

$$\frac{17}{45}$$

Factor

$$\frac{17}{3 ^ {2} \cdot 5} = 0.37777777777777777$$