Solve 1200=102(1+2*11/100

$$1200 = 102 ( 1 + \frac { 2 \times 11 } { 100 }$$

Verify

Solution Steps

Multiply both sides of the equation by 100.

$$120000=10200\left(1+\frac{2\times 11}{100}\right)$$

Multiply 2 and 11 to get 22.

$$120000=10200\left(1+\frac{22}{100}\right)$$

Reduce the fraction \frac{22}{100} to lowest terms by extracting and canceling out 2.

$$120000=10200\left(1+\frac{11}{50}\right)$$

Convert 1 to fraction \frac{50}{50}.

$$120000=10200\left(\frac{50}{50}+\frac{11}{50}\right)$$

Since \frac{50}{50} and \frac{11}{50} have the same denominator, add them by adding their numerators.

$$120000=10200\times \frac{50+11}{50}$$

Add 50 and 11 to get 61.

$$120000=10200\times \frac{61}{50}$$

Express 10200\times \frac{61}{50} as a single fraction.

$$120000=\frac{10200\times 61}{50}$$

Multiply 10200 and 61 to get 622200.

$$120000=\frac{622200}{50}$$

Divide 622200 by 50 to get 12444.

$$120000=12444$$

Compare 120000 and 12444.

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