Solve 1200/100(1+40%)=1200/100=2

$$\frac { 1200 } { 100 ( 1 + 40 \% ) } = \frac { 1200 } { 100 } = 2$$

Verify

Solution Steps

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$\frac{1200}{100\left(1+\frac{2}{5}\right)}=\frac{1200}{100}\text{ and }\frac{1200}{100}=2$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{1200}{100\left(\frac{5}{5}+\frac{2}{5}\right)}=\frac{1200}{100}\text{ and }\frac{1200}{100}=2$$

Since \frac{5}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{1200}{100\times \frac{5+2}{5}}=\frac{1200}{100}\text{ and }\frac{1200}{100}=2$$

Add 5 and 2 to get 7.

$$\frac{1200}{100\times \frac{7}{5}}=\frac{1200}{100}\text{ and }\frac{1200}{100}=2$$

Express 100\times \frac{7}{5} as a single fraction.

$$\frac{1200}{\frac{100\times 7}{5}}=\frac{1200}{100}\text{ and }\frac{1200}{100}=2$$

Multiply 100 and 7 to get 700.

$$\frac{1200}{\frac{700}{5}}=\frac{1200}{100}\text{ and }\frac{1200}{100}=2$$

Divide 700 by 5 to get 140.

$$\frac{1200}{140}=\frac{1200}{100}\text{ and }\frac{1200}{100}=2$$

Reduce the fraction \frac{1200}{140} to lowest terms by extracting and canceling out 20.

$$\frac{60}{7}=\frac{1200}{100}\text{ and }\frac{1200}{100}=2$$

Divide 1200 by 100 to get 12.

$$\frac{60}{7}=12\text{ and }\frac{1200}{100}=2$$

Convert 12 to fraction \frac{84}{7}.

$$\frac{60}{7}=\frac{84}{7}\text{ and }\frac{1200}{100}=2$$

Compare \frac{60}{7} and \frac{84}{7}.

$$\text{false}\text{ and }\frac{1200}{100}=2$$

Divide 1200 by 100 to get 12.

$$\text{false}\text{ and }12=2$$

Compare 12 and 2.

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

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

$$\text{false}$$