Solve (12/3)-1312/13

$$( 1 \frac { 2 } { 3 } ) - 13 \frac { 12 } { 13 }$$

Evaluate

$$-\frac{478}{39}\approx -12.256410256$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{3+2}{3}-\frac{13\times 13+12}{13}$$

Add 3 and 2 to get 5.

$$\frac{5}{3}-\frac{13\times 13+12}{13}$$

Multiply 13 and 13 to get 169.

$$\frac{5}{3}-\frac{169+12}{13}$$

Add 169 and 12 to get 181.

$$\frac{5}{3}-\frac{181}{13}$$

Least common multiple of 3 and 13 is 39. Convert \frac{5}{3} and \frac{181}{13} to fractions with denominator 39.

$$\frac{65}{39}-\frac{543}{39}$$

Since \frac{65}{39} and \frac{543}{39} have the same denominator, subtract them by subtracting their numerators.

$$\frac{65-543}{39}$$

Subtract 543 from 65 to get -478.

$$-\frac{478}{39}$$

Factor

$$-\frac{478}{39} = -12\frac{10}{39} = -12.256410256410257$$