Solve 264.5*5%+264.5

$$264.5 \times 5 \% +264.5$$

Evaluate

$$277.725$$

Solution Steps

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

$$264.5\times \frac{1}{20}+264.5$$

Convert decimal number 264.5 to fraction \frac{2645}{10}. Reduce the fraction \frac{2645}{10} to lowest terms by extracting and canceling out 5.

$$\frac{529}{2}\times \frac{1}{20}+264.5$$

Multiply \frac{529}{2} times \frac{1}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{529\times 1}{2\times 20}+264.5$$

Do the multiplications in the fraction \frac{529\times 1}{2\times 20}.

$$\frac{529}{40}+264.5$$

Convert decimal number 264.5 to fraction \frac{2645}{10}. Reduce the fraction \frac{2645}{10} to lowest terms by extracting and canceling out 5.

$$\frac{529}{40}+\frac{529}{2}$$

Least common multiple of 40 and 2 is 40. Convert \frac{529}{40} and \frac{529}{2} to fractions with denominator 40.

$$\frac{529}{40}+\frac{10580}{40}$$

Since \frac{529}{40} and \frac{10580}{40} have the same denominator, add them by adding their numerators.

$$\frac{529+10580}{40}$$

Add 529 and 10580 to get 11109.

$$\frac{11109}{40}$$

Factor

$$\frac{3 \cdot 7 \cdot 23 ^ {2}}{5 \cdot 2 ^ {3}} = 277\frac{29}{40} = 277.725$$