Solve 2/100(x+3)+12/10

$$\frac { 2 } { 100 } ( x + 3 ) + \frac { 12 } { 10 }$$

Evaluate

$$\frac{x+63}{50}$$

Solution Steps

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{50}\left(x+3\right)+\frac{12}{10}$$

Use the distributive property to multiply \frac{1}{50} by x+3.

$$\frac{1}{50}x+\frac{1}{50}\times 3+\frac{12}{10}$$

Multiply \frac{1}{50} and 3 to get \frac{3}{50}.

$$\frac{1}{50}x+\frac{3}{50}+\frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{50}x+\frac{3}{50}+\frac{6}{5}$$

Least common multiple of 50 and 5 is 50. Convert \frac{3}{50} and \frac{6}{5} to fractions with denominator 50.

$$\frac{1}{50}x+\frac{3}{50}+\frac{60}{50}$$

Since \frac{3}{50} and \frac{60}{50} have the same denominator, add them by adding their numerators.

$$\frac{1}{50}x+\frac{3+60}{50}$$

Add 3 and 60 to get 63.

$$\frac{1}{50}x+\frac{63}{50}$$

Expand

$$\frac{x+63}{50}$$

Solution Steps

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{50}\left(x+3\right)+\frac{12}{10}$$

Use the distributive property to multiply \frac{1}{50} by x+3.

$$\frac{1}{50}x+\frac{1}{50}\times 3+\frac{12}{10}$$

Multiply \frac{1}{50} and 3 to get \frac{3}{50}.

$$\frac{1}{50}x+\frac{3}{50}+\frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{50}x+\frac{3}{50}+\frac{6}{5}$$

Least common multiple of 50 and 5 is 50. Convert \frac{3}{50} and \frac{6}{5} to fractions with denominator 50.

$$\frac{1}{50}x+\frac{3}{50}+\frac{60}{50}$$

Since \frac{3}{50} and \frac{60}{50} have the same denominator, add them by adding their numerators.

$$\frac{1}{50}x+\frac{3+60}{50}$$

Add 3 and 60 to get 63.

$$\frac{1}{50}x+\frac{63}{50}$$