Solve 3*2*1*2/2*5*4*2*2*2/4*3+2*2*3*1*2/5*4*4*3

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

Evaluate

$$\frac{3}{10}=0.3$$

Solution Steps

Cancel out 2\times 2 in both numerator and denominator.

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

Multiply 2 and 5 to get 10.

$$\frac{3}{10}\times \frac{2\times 2\times 2}{4\times 3}+\frac{2\times 2\times 3\times 1\times 2}{5\times 4\times 4\times 3}$$

Cancel out 2\times 2 in both numerator and denominator.

$$\frac{3}{10}\times \frac{2}{3}+\frac{2\times 2\times 3\times 1\times 2}{5\times 4\times 4\times 3}$$

Multiply \frac{3}{10} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{10\times 3}+\frac{2\times 2\times 3\times 1\times 2}{5\times 4\times 4\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{10}+\frac{2\times 2\times 3\times 1\times 2}{5\times 4\times 4\times 3}$$

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

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

Cancel out 2\times 2\times 2\times 3 in both numerator and denominator.

$$\frac{1}{5}+\frac{1}{2\times 5}$$

Multiply 2 and 5 to get 10.

$$\frac{1}{5}+\frac{1}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{1}{5} and \frac{1}{10} to fractions with denominator 10.

$$\frac{2}{10}+\frac{1}{10}$$

Since \frac{2}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{10}$$

Add 2 and 1 to get 3.

$$\frac{3}{10}$$

Factor

$$\frac{3}{2 \cdot 5} = 0.3$$