Solve (2/1-2/101)div2

$$( \frac { 2 } { 1 } - \frac { 2 } { 101 } ) \div 2$$

Evaluate

$$\frac{100}{101}\approx 0.99009901$$

Solution Steps

Anything divided by one gives itself.

$$\frac{2-\frac{2}{101}}{2}$$

Convert 2 to fraction \frac{202}{101}.

$$\frac{\frac{202}{101}-\frac{2}{101}}{2}$$

Since \frac{202}{101} and \frac{2}{101} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{202-2}{101}}{2}$$

Subtract 2 from 202 to get 200.

$$\frac{\frac{200}{101}}{2}$$

Express \frac{\frac{200}{101}}{2} as a single fraction.

$$\frac{200}{101\times 2}$$

Multiply 101 and 2 to get 202.

$$\frac{200}{202}$$

Reduce the fraction \frac{200}{202} to lowest terms by extracting and canceling out 2.

$$\frac{100}{101}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{101} = 0.9900990099009901$$