Solve 3/81+25/125+4/28

$$\frac { 3 } { 81 } + \frac { 25 } { 125 } + \frac { 4 } { 28 }$$

Evaluate

$$\frac{359}{945}\approx 0.37989418$$

Solution Steps

Reduce the fraction \frac{3}{81} to lowest terms by extracting and canceling out 3.

$$\frac{1}{27}+\frac{25}{125}+\frac{4}{28}$$

Reduce the fraction \frac{25}{125} to lowest terms by extracting and canceling out 25.

$$\frac{1}{27}+\frac{1}{5}+\frac{4}{28}$$

Least common multiple of 27 and 5 is 135. Convert \frac{1}{27} and \frac{1}{5} to fractions with denominator 135.

$$\frac{5}{135}+\frac{27}{135}+\frac{4}{28}$$

Since \frac{5}{135} and \frac{27}{135} have the same denominator, add them by adding their numerators.

$$\frac{5+27}{135}+\frac{4}{28}$$

Add 5 and 27 to get 32.

$$\frac{32}{135}+\frac{4}{28}$$

Reduce the fraction \frac{4}{28} to lowest terms by extracting and canceling out 4.

$$\frac{32}{135}+\frac{1}{7}$$

Least common multiple of 135 and 7 is 945. Convert \frac{32}{135} and \frac{1}{7} to fractions with denominator 945.

$$\frac{224}{945}+\frac{135}{945}$$

Since \frac{224}{945} and \frac{135}{945} have the same denominator, add them by adding their numerators.

$$\frac{224+135}{945}$$

Add 224 and 135 to get 359.

$$\frac{359}{945}$$

Factor

$$\frac{359}{3 ^ {3} \cdot 5 \cdot 7} = 0.3798941798941799$$