Solve 2/5*3/10*21/2*4

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

Evaluate

$$\frac{6}{5}=1.2$$

Solution Steps

Multiply \frac{2}{5} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{2\times 3}{5\times 10}.

$$\frac{6}{50}\times \frac{2\times 2+1}{2}\times 4$$

Reduce the fraction \frac{6}{50} to lowest terms by extracting and canceling out 2.

$$\frac{3}{25}\times \frac{2\times 2+1}{2}\times 4$$

Multiply 2 and 2 to get 4.

$$\frac{3}{25}\times \frac{4+1}{2}\times 4$$

Add 4 and 1 to get 5.

$$\frac{3}{25}\times \frac{5}{2}\times 4$$

Multiply \frac{3}{25} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{25\times 2}\times 4$$

Do the multiplications in the fraction \frac{3\times 5}{25\times 2}.

$$\frac{15}{50}\times 4$$

Reduce the fraction \frac{15}{50} to lowest terms by extracting and canceling out 5.

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

Express \frac{3}{10}\times 4 as a single fraction.

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

Multiply 3 and 4 to get 12.

$$\frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$