Solve 7.5*3/100+7.5

$$7.5 \times \frac{ 3 }{ 100 } +7.5$$

Evaluate

$$7.725$$

Solution Steps

Convert decimal number 7.5 to fraction \frac{75}{10}. Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.

$$\frac{15}{2}\times \frac{3}{100}+7.5$$

Multiply \frac{15}{2} times \frac{3}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 3}{2\times 100}+7.5$$

Do the multiplications in the fraction \frac{15\times 3}{2\times 100}.

$$\frac{45}{200}+7.5$$

Reduce the fraction \frac{45}{200} to lowest terms by extracting and canceling out 5.

$$\frac{9}{40}+7.5$$

Convert decimal number 7.5 to fraction \frac{75}{10}. Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.

$$\frac{9}{40}+\frac{15}{2}$$

Least common multiple of 40 and 2 is 40. Convert \frac{9}{40} and \frac{15}{2} to fractions with denominator 40.

$$\frac{9}{40}+\frac{300}{40}$$

Since \frac{9}{40} and \frac{300}{40} have the same denominator, add them by adding their numerators.

$$\frac{9+300}{40}$$

Add 9 and 300 to get 309.

$$\frac{309}{40}$$

Factor

$$\frac{3 \cdot 103}{5 \cdot 2 ^ {3}} = 7\frac{29}{40} = 7.725$$