Solve 10/3+2/3*5/6

$$\frac{ 10 }{ 3 } + \frac{ 2 }{ 3 } \times \frac{ 5 }{ 6 }$$

Evaluate

$$\frac{35}{9}\approx 3.888888889$$

Solution Steps

Multiply \frac{2}{3} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10}{3}+\frac{2\times 5}{3\times 6}$$

Do the multiplications in the fraction \frac{2\times 5}{3\times 6}.

$$\frac{10}{3}+\frac{10}{18}$$

Reduce the fraction \frac{10}{18} to lowest terms by extracting and canceling out 2.

$$\frac{10}{3}+\frac{5}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{10}{3} and \frac{5}{9} to fractions with denominator 9.

$$\frac{30}{9}+\frac{5}{9}$$

Since \frac{30}{9} and \frac{5}{9} have the same denominator, add them by adding their numerators.

$$\frac{30+5}{9}$$

Add 30 and 5 to get 35.

$$\frac{35}{9}$$

Factor

$$\frac{5 \cdot 7}{3 ^ {2}} = 3\frac{8}{9} = 3.888888888888889$$