Solve 5/5*8/5+7/6

$$\frac{ 5 }{ 5 } \times \frac{ 8 }{ 5 } + \frac{ 7 }{ 6 }$$

Evaluate

$$\frac{83}{30}\approx 2.766666667$$

Solution Steps

Divide 5 by 5 to get 1.

$$1\times \frac{8}{5}+\frac{7}{6}$$

Multiply 1 and \frac{8}{5} to get \frac{8}{5}.

$$\frac{8}{5}+\frac{7}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{8}{5} and \frac{7}{6} to fractions with denominator 30.

$$\frac{48}{30}+\frac{35}{30}$$

Since \frac{48}{30} and \frac{35}{30} have the same denominator, add them by adding their numerators.

$$\frac{48+35}{30}$$

Add 48 and 35 to get 83.

$$\frac{83}{30}$$

Factor

$$\frac{83}{2 \cdot 3 \cdot 5} = 2\frac{23}{30} = 2.7666666666666666$$