Solve 3*100+6*1/10+5*1/100

$$3 \times 100 + 6 \times \frac { 1 } { 10 } + 5 \times \frac { 1 } { 100 }$$

Evaluate

$$\frac{6013}{20}=300.65$$

Solution Steps

Multiply 3 and 100 to get 300.

$$300+6\times \frac{1}{10}+5\times \frac{1}{100}$$

Multiply 6 and \frac{1}{10} to get \frac{6}{10}.

$$300+\frac{6}{10}+5\times \frac{1}{100}$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$300+\frac{3}{5}+5\times \frac{1}{100}$$

Convert 300 to fraction \frac{1500}{5}.

$$\frac{1500}{5}+\frac{3}{5}+5\times \frac{1}{100}$$

Since \frac{1500}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{1500+3}{5}+5\times \frac{1}{100}$$

Add 1500 and 3 to get 1503.

$$\frac{1503}{5}+5\times \frac{1}{100}$$

Multiply 5 and \frac{1}{100} to get \frac{5}{100}.

$$\frac{1503}{5}+\frac{5}{100}$$

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

$$\frac{1503}{5}+\frac{1}{20}$$

Least common multiple of 5 and 20 is 20. Convert \frac{1503}{5} and \frac{1}{20} to fractions with denominator 20.

$$\frac{6012}{20}+\frac{1}{20}$$

Since \frac{6012}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$\frac{6012+1}{20}$$

Add 6012 and 1 to get 6013.

$$\frac{6013}{20}$$

Factor

$$\frac{7 \cdot 859}{2 ^ {2} \cdot 5} = 300\frac{13}{20} = 300.65$$