Solve 112div(1+12%)=11

$$112 \div ( 1 + 12 \% ) = 11$$

Verify

Solution Steps

Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$\frac{112}{1+\frac{3}{25}}=11$$

Convert 1 to fraction \frac{25}{25}.

$$\frac{112}{\frac{25}{25}+\frac{3}{25}}=11$$

Since \frac{25}{25} and \frac{3}{25} have the same denominator, add them by adding their numerators.

$$\frac{112}{\frac{25+3}{25}}=11$$

Add 25 and 3 to get 28.

$$\frac{112}{\frac{28}{25}}=11$$

Divide 112 by \frac{28}{25} by multiplying 112 by the reciprocal of \frac{28}{25}.

$$112\times \frac{25}{28}=11$$

Express 112\times \frac{25}{28} as a single fraction.

$$\frac{112\times 25}{28}=11$$

Multiply 112 and 25 to get 2800.

$$\frac{2800}{28}=11$$

Divide 2800 by 28 to get 100.

$$100=11$$

Compare 100 and 11.

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