Solve 12/3*2/5*1/4+31/18

$$1 \frac { 2 } { 3 } \times \frac { 2 } { 5 } \times \frac { 1 } { 4 } + 3 \frac { 1 } { 18 }$$

Evaluate

$$\frac{29}{9}\approx 3.222222222$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{3+2}{3}\times \frac{2}{5}\times \frac{1}{4}+\frac{3\times 18+1}{18}$$

Add 3 and 2 to get 5.

$$\frac{5}{3}\times \frac{2}{5}\times \frac{1}{4}+\frac{3\times 18+1}{18}$$

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

$$\frac{5\times 2}{3\times 5}\times \frac{1}{4}+\frac{3\times 18+1}{18}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2}{3}\times \frac{1}{4}+\frac{3\times 18+1}{18}$$

Multiply \frac{2}{3} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 1}{3\times 4}+\frac{3\times 18+1}{18}$$

Do the multiplications in the fraction \frac{2\times 1}{3\times 4}.

$$\frac{2}{12}+\frac{3\times 18+1}{18}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$\frac{1}{6}+\frac{3\times 18+1}{18}$$

Multiply 3 and 18 to get 54.

$$\frac{1}{6}+\frac{54+1}{18}$$

Add 54 and 1 to get 55.

$$\frac{1}{6}+\frac{55}{18}$$

Least common multiple of 6 and 18 is 18. Convert \frac{1}{6} and \frac{55}{18} to fractions with denominator 18.

$$\frac{3}{18}+\frac{55}{18}$$

Since \frac{3}{18} and \frac{55}{18} have the same denominator, add them by adding their numerators.

$$\frac{3+55}{18}$$

Add 3 and 55 to get 58.

$$\frac{58}{18}$$

Reduce the fraction \frac{58}{18} to lowest terms by extracting and canceling out 2.

$$\frac{29}{9}$$

Factor

$$\frac{29}{3 ^ {2}} = 3\frac{2}{9} = 3.2222222222222223$$