Solve 24000*(1+3.5*5%)

$$24000 \times (1+3.5 \times 5 \% )$$

Evaluate

$$28200$$

Solution Steps

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$24000\left(1+3.5\times \frac{1}{20}\right)$$

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$24000\left(1+\frac{7}{2}\times \frac{1}{20}\right)$$

Multiply \frac{7}{2} times \frac{1}{20} by multiplying numerator times numerator and denominator times denominator.

$$24000\left(1+\frac{7\times 1}{2\times 20}\right)$$

Do the multiplications in the fraction \frac{7\times 1}{2\times 20}.

$$24000\left(1+\frac{7}{40}\right)$$

Convert 1 to fraction \frac{40}{40}.

$$24000\left(\frac{40}{40}+\frac{7}{40}\right)$$

Since \frac{40}{40} and \frac{7}{40} have the same denominator, add them by adding their numerators.

$$24000\times \frac{40+7}{40}$$

Add 40 and 7 to get 47.

$$24000\times \frac{47}{40}$$

Express 24000\times \frac{47}{40} as a single fraction.

$$\frac{24000\times 47}{40}$$

Multiply 24000 and 47 to get 1128000.

$$\frac{1128000}{40}$$

Divide 1128000 by 40 to get 28200.

$$28200$$

Factor

$$3\times 47\times 2^{3}\times 5^{2}$$