Solve 0.9*5/6*31/3

$$0.9 \times \frac { 5 } { 6 } \times 3 \frac { 1 } { 3 }$$

Evaluate

$$2.5$$

Solution Steps

Convert decimal number 0.9 to fraction \frac{9}{10}.

$$\frac{9}{10}\times \frac{5}{6}\times \frac{3\times 3+1}{3}$$

Multiply \frac{9}{10} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 5}{10\times 6}\times \frac{3\times 3+1}{3}$$

Do the multiplications in the fraction \frac{9\times 5}{10\times 6}.

$$\frac{45}{60}\times \frac{3\times 3+1}{3}$$

Reduce the fraction \frac{45}{60} to lowest terms by extracting and canceling out 15.

$$\frac{3}{4}\times \frac{3\times 3+1}{3}$$

Multiply 3 and 3 to get 9.

$$\frac{3}{4}\times \frac{9+1}{3}$$

Add 9 and 1 to get 10.

$$\frac{3}{4}\times \frac{10}{3}$$

Multiply \frac{3}{4} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 10}{4\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{10}{4}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$