Solve 2*(61/4-41/6)*2/5

$$2 \times ( 6 \frac { 1 } { 4 } - 4 \frac { 1 } { 6 } ) \times \frac { 2 } { 5 }$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Multiply 6 and 4 to get 24.

$$2\left(\frac{24+1}{4}-\frac{4\times 6+1}{6}\right)\times \frac{2}{5}$$

Add 24 and 1 to get 25.

$$2\left(\frac{25}{4}-\frac{4\times 6+1}{6}\right)\times \frac{2}{5}$$

Multiply 4 and 6 to get 24.

$$2\left(\frac{25}{4}-\frac{24+1}{6}\right)\times \frac{2}{5}$$

Add 24 and 1 to get 25.

$$2\left(\frac{25}{4}-\frac{25}{6}\right)\times \frac{2}{5}$$

Least common multiple of 4 and 6 is 12. Convert \frac{25}{4} and \frac{25}{6} to fractions with denominator 12.

$$2\left(\frac{75}{12}-\frac{50}{12}\right)\times \frac{2}{5}$$

Since \frac{75}{12} and \frac{50}{12} have the same denominator, subtract them by subtracting their numerators.

$$2\times \frac{75-50}{12}\times \frac{2}{5}$$

Subtract 50 from 75 to get 25.

$$2\times \frac{25}{12}\times \frac{2}{5}$$

Express 2\times \frac{25}{12} as a single fraction.

$$\frac{2\times 25}{12}\times \frac{2}{5}$$

Multiply 2 and 25 to get 50.

$$\frac{50}{12}\times \frac{2}{5}$$

Reduce the fraction \frac{50}{12} to lowest terms by extracting and canceling out 2.

$$\frac{25}{6}\times \frac{2}{5}$$

Multiply \frac{25}{6} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 2}{6\times 5}$$

Do the multiplications in the fraction \frac{25\times 2}{6\times 5}.

$$\frac{50}{30}$$

Reduce the fraction \frac{50}{30} to lowest terms by extracting and canceling out 10.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$