Solve 4/5+8/6+7/2=

$$\frac{ 4 }{ 5 } + \frac{ 8 }{ 6 } + \frac{ 7 }{ 2 } =$$

Evaluate

$$\frac{169}{30}\approx 5.633333333$$

Solution Steps

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}+\frac{4}{3}+\frac{7}{2}$$

Least common multiple of 5 and 3 is 15. Convert \frac{4}{5} and \frac{4}{3} to fractions with denominator 15.

$$\frac{12}{15}+\frac{20}{15}+\frac{7}{2}$$

Since \frac{12}{15} and \frac{20}{15} have the same denominator, add them by adding their numerators.

$$\frac{12+20}{15}+\frac{7}{2}$$

Add 12 and 20 to get 32.

$$\frac{32}{15}+\frac{7}{2}$$

Least common multiple of 15 and 2 is 30. Convert \frac{32}{15} and \frac{7}{2} to fractions with denominator 30.

$$\frac{64}{30}+\frac{105}{30}$$

Since \frac{64}{30} and \frac{105}{30} have the same denominator, add them by adding their numerators.

$$\frac{64+105}{30}$$

Add 64 and 105 to get 169.

$$\frac{169}{30}$$

Factor

$$\frac{13 ^ {2}}{2 \cdot 3 \cdot 5} = 5\frac{19}{30} = 5.633333333333334$$