Solve 100=200/11=182/11%

$$100 = \frac { 200 } { 11 } = 18 \frac { 2 } { 11 } \%$$

Verify

Solution Steps

Convert 100 to fraction \frac{1100}{11}.

$$\frac{1100}{11}=\frac{200}{11}\text{ and }\frac{200}{11}=\frac{\frac{18\times 11+2}{11}}{100}$$

Compare \frac{1100}{11} and \frac{200}{11}.

$$\text{false}\text{ and }\frac{200}{11}=\frac{\frac{18\times 11+2}{11}}{100}$$

Express \frac{\frac{18\times 11+2}{11}}{100} as a single fraction.

$$\text{false}\text{ and }\frac{200}{11}=\frac{18\times 11+2}{11\times 100}$$

Multiply 18 and 11 to get 198.

$$\text{false}\text{ and }\frac{200}{11}=\frac{198+2}{11\times 100}$$

Add 198 and 2 to get 200.

$$\text{false}\text{ and }\frac{200}{11}=\frac{200}{11\times 100}$$

Multiply 11 and 100 to get 1100.

$$\text{false}\text{ and }\frac{200}{11}=\frac{200}{1100}$$

Reduce the fraction \frac{200}{1100} to lowest terms by extracting and canceling out 100.

$$\text{false}\text{ and }\frac{200}{11}=\frac{2}{11}$$

Compare \frac{200}{11} and \frac{2}{11}.

$$\text{false}\text{ and }\text{false}$$

The conjunction of \text{false} and \text{false} is \text{false}.

$$\text{false}$$