Solve (8/54+4/3)3/8

$$( \frac{ 8 }{ 54 } + \frac{ 4 }{ 3 } ) \frac{ 3 }{ 8 }$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

Reduce the fraction \frac{8}{54} to lowest terms by extracting and canceling out 2.

$$\left(\frac{4}{27}+\frac{4}{3}\right)\times \frac{3}{8}$$

Least common multiple of 27 and 3 is 27. Convert \frac{4}{27} and \frac{4}{3} to fractions with denominator 27.

$$\left(\frac{4}{27}+\frac{36}{27}\right)\times \frac{3}{8}$$

Since \frac{4}{27} and \frac{36}{27} have the same denominator, add them by adding their numerators.

$$\frac{4+36}{27}\times \frac{3}{8}$$

Add 4 and 36 to get 40.

$$\frac{40}{27}\times \frac{3}{8}$$

Multiply \frac{40}{27} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{40\times 3}{27\times 8}$$

Do the multiplications in the fraction \frac{40\times 3}{27\times 8}.

$$\frac{120}{216}$$

Reduce the fraction \frac{120}{216} to lowest terms by extracting and canceling out 24.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$