Solve 4,7/2,7+2/40

$$\frac { 4,7 } { 2,7 } + \frac { 2 } { 40 }$$

Evaluate

$$\frac{967}{540}\approx 1,790740741$$

Solution Steps

Expand \frac{4,7}{2,7} by multiplying both numerator and the denominator by 10.

$$\frac{47}{27}+\frac{2}{40}$$

Reduce the fraction \frac{2}{40} to lowest terms by extracting and canceling out 2.

$$\frac{47}{27}+\frac{1}{20}$$

Least common multiple of 27 and 20 is 540. Convert \frac{47}{27} and \frac{1}{20} to fractions with denominator 540.

$$\frac{940}{540}+\frac{27}{540}$$

Since \frac{940}{540} and \frac{27}{540} have the same denominator, add them by adding their numerators.

$$\frac{940+27}{540}$$

Add 940 and 27 to get 967.

$$\frac{967}{540}$$

Factor

$$\frac{967}{5 \cdot 2 ^ {2} \cdot 3 ^ {3}} = 1\frac{427}{540} = 1.7907407407407407$$