Solve (7/60+8/30+9/20)*1/3

$$( \frac { 7 } { 60 } + \frac { 8 } { 30 } + \frac { 9 } { 20 } ) \times \frac { 1 } { 3 }$$

Evaluate

$$\frac{5}{18}\approx 0.277777778$$

Solution Steps

Reduce the fraction \frac{8}{30} to lowest terms by extracting and canceling out 2.

$$\left(\frac{7}{60}+\frac{4}{15}+\frac{9}{20}\right)\times \frac{1}{3}$$

Least common multiple of 60 and 15 is 60. Convert \frac{7}{60} and \frac{4}{15} to fractions with denominator 60.

$$\left(\frac{7}{60}+\frac{16}{60}+\frac{9}{20}\right)\times \frac{1}{3}$$

Since \frac{7}{60} and \frac{16}{60} have the same denominator, add them by adding their numerators.

$$\left(\frac{7+16}{60}+\frac{9}{20}\right)\times \frac{1}{3}$$

Add 7 and 16 to get 23.

$$\left(\frac{23}{60}+\frac{9}{20}\right)\times \frac{1}{3}$$

Least common multiple of 60 and 20 is 60. Convert \frac{23}{60} and \frac{9}{20} to fractions with denominator 60.

$$\left(\frac{23}{60}+\frac{27}{60}\right)\times \frac{1}{3}$$

Since \frac{23}{60} and \frac{27}{60} have the same denominator, add them by adding their numerators.

$$\frac{23+27}{60}\times \frac{1}{3}$$

Add 23 and 27 to get 50.

$$\frac{50}{60}\times \frac{1}{3}$$

Reduce the fraction \frac{50}{60} to lowest terms by extracting and canceling out 10.

$$\frac{5}{6}\times \frac{1}{3}$$

Multiply \frac{5}{6} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1}{6\times 3}$$

Do the multiplications in the fraction \frac{5\times 1}{6\times 3}.

$$\frac{5}{18}$$

Factor

$$\frac{5}{2 \cdot 3 ^ {2}} = 0.2777777777777778$$