Solve 40left(1+10/100right)25

$$40 \left( 1+ \frac{ 10 }{ 100 } \right) 25$$

Evaluate

$$1100$$

Solution Steps

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$40\left(1+\frac{1}{10}\right)\times 25$$

Convert 1 to fraction \frac{10}{10}.

$$40\left(\frac{10}{10}+\frac{1}{10}\right)\times 25$$

Since \frac{10}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$40\times \frac{10+1}{10}\times 25$$

Add 10 and 1 to get 11.

$$40\times \frac{11}{10}\times 25$$

Express 40\times \frac{11}{10} as a single fraction.

$$\frac{40\times 11}{10}\times 25$$

Multiply 40 and 11 to get 440.

$$\frac{440}{10}\times 25$$

Divide 440 by 10 to get 44.

$$44\times 25$$

Multiply 44 and 25 to get 1100.

$$1100$$

Factor

$$2^{2}\times 5^{2}\times 11$$