Solve 5/3*(6.9+1.7+2.2)

$$\frac{ 5 }{ 3 } \times (6.9+1.7+2.2)$$

Evaluate

$$18$$

Solution Steps

Add 6.9 and 1.7 to get 8.6.

$$\frac{5}{3}\left(8.6+2.2\right)$$

Add 8.6 and 2.2 to get 10.8.

$$\frac{5}{3}\times 10.8$$

Convert decimal number 10.8 to fraction \frac{108}{10}. Reduce the fraction \frac{108}{10} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}\times \frac{54}{5}$$

Multiply \frac{5}{3} times \frac{54}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 54}{3\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{54}{3}$$

Divide 54 by 3 to get 18.

$$18$$

Factor

$$2\times 3^{2}$$