Solve (1/45+1/30)*4

$$( \frac { 1 } { 45 } + \frac { 1 } { 30 } ) \times 4$$

Evaluate

$$\frac{2}{9}\approx 0.222222222$$

Solution Steps

Least common multiple of 45 and 30 is 90. Convert \frac{1}{45} and \frac{1}{30} to fractions with denominator 90.

$$\left(\frac{2}{90}+\frac{3}{90}\right)\times 4$$

Since \frac{2}{90} and \frac{3}{90} have the same denominator, add them by adding their numerators.

$$\frac{2+3}{90}\times 4$$

Add 2 and 3 to get 5.

$$\frac{5}{90}\times 4$$

Reduce the fraction \frac{5}{90} to lowest terms by extracting and canceling out 5.

$$\frac{1}{18}\times 4$$

Multiply \frac{1}{18} and 4 to get \frac{4}{18}.

$$\frac{4}{18}$$

Reduce the fraction \frac{4}{18} to lowest terms by extracting and canceling out 2.

$$\frac{2}{9}$$

Factor

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$