Solve (1-1div5.0765)div0.9

$$(1-1 \div 5.0765) \div 0.9$$

Evaluate

$$\frac{81530}{91377}\approx 0.892237653$$

Solution Steps

Expand \frac{1}{5.0765} by multiplying both numerator and the denominator by 10000.

$$\frac{1-\frac{10000}{50765}}{0.9}$$

Reduce the fraction \frac{10000}{50765} to lowest terms by extracting and canceling out 5.

$$\frac{1-\frac{2000}{10153}}{0.9}$$

Convert 1 to fraction \frac{10153}{10153}.

$$\frac{\frac{10153}{10153}-\frac{2000}{10153}}{0.9}$$

Since \frac{10153}{10153} and \frac{2000}{10153} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{10153-2000}{10153}}{0.9}$$

Subtract 2000 from 10153 to get 8153.

$$\frac{\frac{8153}{10153}}{0.9}$$

Express \frac{\frac{8153}{10153}}{0.9} as a single fraction.

$$\frac{8153}{10153\times 0.9}$$

Multiply 10153 and 0.9 to get 9137.7.

$$\frac{8153}{9137.7}$$

Expand \frac{8153}{9137.7} by multiplying both numerator and the denominator by 10.

$$\frac{81530}{91377}$$

Factor

$$\frac{2 \cdot 5 \cdot 31 \cdot 263}{11 \cdot 13 \cdot 71 \cdot 3 ^ {2}} = 0.8922376528010331$$