Solve 10-8/98/10

$$\frac { 10 - \frac { 8 } { 98 } } { 10 }$$

Evaluate

$$\frac{243}{245}\approx 0.991836735$$

Solution Steps

Reduce the fraction \frac{8}{98} to lowest terms by extracting and canceling out 2.

$$\frac{10-\frac{4}{49}}{10}$$

Convert 10 to fraction \frac{490}{49}.

$$\frac{\frac{490}{49}-\frac{4}{49}}{10}$$

Since \frac{490}{49} and \frac{4}{49} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{490-4}{49}}{10}$$

Subtract 4 from 490 to get 486.

$$\frac{\frac{486}{49}}{10}$$

Express \frac{\frac{486}{49}}{10} as a single fraction.

$$\frac{486}{49\times 10}$$

Multiply 49 and 10 to get 490.

$$\frac{486}{490}$$

Reduce the fraction \frac{486}{490} to lowest terms by extracting and canceling out 2.

$$\frac{243}{245}$$

Factor

$$\frac{3 ^ {5}}{5 \cdot 7 ^ {2}} = 0.9918367346938776$$