Solve 5000(1+.03*4/12)

$$5000(1+.03 \times \frac{ 4 }{ 12 } )$$

Evaluate

$$5050$$

Solution Steps

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

$$5000\left(1+0.03\times \frac{1}{3}\right)$$

Convert decimal number 0.03 to fraction \frac{3}{100}.

$$5000\left(1+\frac{3}{100}\times \frac{1}{3}\right)$$

Multiply \frac{3}{100} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$5000\left(1+\frac{3\times 1}{100\times 3}\right)$$

Cancel out 3 in both numerator and denominator.

$$5000\left(1+\frac{1}{100}\right)$$

Convert 1 to fraction \frac{100}{100}.

$$5000\left(\frac{100}{100}+\frac{1}{100}\right)$$

Since \frac{100}{100} and \frac{1}{100} have the same denominator, add them by adding their numerators.

$$5000\times \frac{100+1}{100}$$

Add 100 and 1 to get 101.

$$5000\times \frac{101}{100}$$

Express 5000\times \frac{101}{100} as a single fraction.

$$\frac{5000\times 101}{100}$$

Multiply 5000 and 101 to get 505000.

$$\frac{505000}{100}$$

Divide 505000 by 100 to get 5050.

$$5050$$

Factor

$$2\times 101\times 5^{2}$$