Solve 62/3*55/6

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

Evaluate

$$\frac{350}{9}\approx 38.888888889$$

Solution Steps

Multiply 6 and 3 to get 18.

$$\frac{18+2}{3}\times \frac{5\times 6+5}{6}$$

Add 18 and 2 to get 20.

$$\frac{20}{3}\times \frac{5\times 6+5}{6}$$

Multiply 5 and 6 to get 30.

$$\frac{20}{3}\times \frac{30+5}{6}$$

Add 30 and 5 to get 35.

$$\frac{20}{3}\times \frac{35}{6}$$

Multiply \frac{20}{3} times \frac{35}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{20\times 35}{3\times 6}$$

Do the multiplications in the fraction \frac{20\times 35}{3\times 6}.

$$\frac{700}{18}$$

Reduce the fraction \frac{700}{18} to lowest terms by extracting and canceling out 2.

$$\frac{350}{9}$$

Factor

$$\frac{2 \cdot 5 ^ {2} \cdot 7}{3 ^ {2}} = 38\frac{8}{9} = 38.888888888888886$$