Solve 4312/6335+40/13

$$\frac { 4312 } { 6335 } + \frac { 40 } { 13 }$$

Evaluate

$$\frac{44208}{11765}\approx 3.75758606$$

Solution Steps

Reduce the fraction \frac{4312}{6335} to lowest terms by extracting and canceling out 7.

$$\frac{616}{905}+\frac{40}{13}$$

Least common multiple of 905 and 13 is 11765. Convert \frac{616}{905} and \frac{40}{13} to fractions with denominator 11765.

$$\frac{8008}{11765}+\frac{36200}{11765}$$

Since \frac{8008}{11765} and \frac{36200}{11765} have the same denominator, add them by adding their numerators.

$$\frac{8008+36200}{11765}$$

Add 8008 and 36200 to get 44208.

$$\frac{44208}{11765}$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2} \cdot 307}{5 \cdot 13 \cdot 181} = 3\frac{8913}{11765} = 3.7575860603484914$$