Solve 5.95/27.27+11.9/27.27+23.8/27.27

$$\frac { 5.95 } { 27.27 } + \frac { 11.9 } { 27.27 } + \frac { 23.8 } { 27.27 }$$

Evaluate

$$\frac{4165}{2727}\approx 1.527319399$$

Solution Steps

Expand \frac{5.95}{27.27} by multiplying both numerator and the denominator by 100.

$$\frac{595}{2727}+\frac{11.9}{27.27}+\frac{23.8}{27.27}$$

Expand \frac{11.9}{27.27} by multiplying both numerator and the denominator by 100.

$$\frac{595}{2727}+\frac{1190}{2727}+\frac{23.8}{27.27}$$

Since \frac{595}{2727} and \frac{1190}{2727} have the same denominator, add them by adding their numerators.

$$\frac{595+1190}{2727}+\frac{23.8}{27.27}$$

Add 595 and 1190 to get 1785.

$$\frac{1785}{2727}+\frac{23.8}{27.27}$$

Reduce the fraction \frac{1785}{2727} to lowest terms by extracting and canceling out 3.

$$\frac{595}{909}+\frac{23.8}{27.27}$$

Expand \frac{23.8}{27.27} by multiplying both numerator and the denominator by 100.

$$\frac{595}{909}+\frac{2380}{2727}$$

Least common multiple of 909 and 2727 is 2727. Convert \frac{595}{909} and \frac{2380}{2727} to fractions with denominator 2727.

$$\frac{1785}{2727}+\frac{2380}{2727}$$

Since \frac{1785}{2727} and \frac{2380}{2727} have the same denominator, add them by adding their numerators.

$$\frac{1785+2380}{2727}$$

Add 1785 and 2380 to get 4165.

$$\frac{4165}{2727}$$

Factor

$$\frac{5 \cdot 17 \cdot 7 ^ {2}}{101 \cdot 3 ^ {3}} = 1\frac{1438}{2727} = 1.5273193986065272$$