Solve -18/12+25/15+1

$$- \frac{ 18 }{ 12 } + \frac{ 25 }{ 15 } +1$$

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

Reduce the fraction \frac{18}{12} to lowest terms by extracting and canceling out 6.

$$-\frac{3}{2}+\frac{25}{15}+1$$

Reduce the fraction \frac{25}{15} to lowest terms by extracting and canceling out 5.

$$-\frac{3}{2}+\frac{5}{3}+1$$

Least common multiple of 2 and 3 is 6. Convert -\frac{3}{2} and \frac{5}{3} to fractions with denominator 6.

$$-\frac{9}{6}+\frac{10}{6}+1$$

Since -\frac{9}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.

$$\frac{-9+10}{6}+1$$

Add -9 and 10 to get 1.

$$\frac{1}{6}+1$$

Convert 1 to fraction \frac{6}{6}.

$$\frac{1}{6}+\frac{6}{6}$$

Since \frac{1}{6} and \frac{6}{6} have the same denominator, add them by adding their numerators.

$$\frac{1+6}{6}$$

Add 1 and 6 to get 7.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$