Solve 10-8/9.8/10

$$\frac { 10 - \frac { 8 } { 9.8 } } { 10 }$$

Evaluate

$$\frac{45}{49}\approx 0.918367347$$

Solution Steps

Expand \frac{8}{9.8} by multiplying both numerator and the denominator by 10.

$$\frac{10-\frac{80}{98}}{10}$$

Reduce the fraction \frac{80}{98} to lowest terms by extracting and canceling out 2.

$$\frac{10-\frac{40}{49}}{10}$$

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

$$\frac{\frac{490}{49}-\frac{40}{49}}{10}$$

Since \frac{490}{49} and \frac{40}{49} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{490-40}{49}}{10}$$

Subtract 40 from 490 to get 450.

$$\frac{\frac{450}{49}}{10}$$

Express \frac{\frac{450}{49}}{10} as a single fraction.

$$\frac{450}{49\times 10}$$

Multiply 49 and 10 to get 490.

$$\frac{450}{490}$$

Reduce the fraction \frac{450}{490} to lowest terms by extracting and canceling out 10.

$$\frac{45}{49}$$

Factor

$$\frac{5 \cdot 3 ^ {2}}{7 ^ {2}} = 0.9183673469387755$$