Solve 3/25+52/36

$$\frac{ 3 }{ 25 } + \frac{ 52 }{ 36 }$$

Evaluate

$$\frac{352}{225}\approx 1.564444444$$

Solution Steps

Reduce the fraction \frac{52}{36} to lowest terms by extracting and canceling out 4.

$$\frac{3}{25}+\frac{13}{9}$$

Least common multiple of 25 and 9 is 225. Convert \frac{3}{25} and \frac{13}{9} to fractions with denominator 225.

$$\frac{27}{225}+\frac{325}{225}$$

Since \frac{27}{225} and \frac{325}{225} have the same denominator, add them by adding their numerators.

$$\frac{27+325}{225}$$

Add 27 and 325 to get 352.

$$\frac{352}{225}$$

Factor

$$\frac{2 ^ {5} \cdot 11}{3 ^ {2} \cdot 5 ^ {2}} = 1\frac{127}{225} = 1.5644444444444445$$