Solve 2*(12/9+1-1/4)

$$2 \times ( \frac { 12 } { 9 } + 1 - \frac { 1 } { 4 } )$$

Evaluate

$$\frac{25}{6}\approx 4.166666667$$

Solution Steps

Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.

$$2\left(\frac{4}{3}+1-\frac{1}{4}\right)$$

Convert 1 to fraction \frac{3}{3}.

$$2\left(\frac{4}{3}+\frac{3}{3}-\frac{1}{4}\right)$$

Since \frac{4}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

$$2\left(\frac{4+3}{3}-\frac{1}{4}\right)$$

Add 4 and 3 to get 7.

$$2\left(\frac{7}{3}-\frac{1}{4}\right)$$

Least common multiple of 3 and 4 is 12. Convert \frac{7}{3} and \frac{1}{4} to fractions with denominator 12.

$$2\left(\frac{28}{12}-\frac{3}{12}\right)$$

Since \frac{28}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$2\times \frac{28-3}{12}$$

Subtract 3 from 28 to get 25.

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

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

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

Multiply 2 and 25 to get 50.

$$\frac{50}{12}$$

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

$$\frac{25}{6}$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$$