Solve -1311/18-7/3+15.25

$$-13 \frac{ 11 }{ 18 } - \frac{ 7 }{ 3 } +15.25$$

Evaluate

$$-\frac{25}{36}\approx -0.694444444$$

Solution Steps

Multiply 13 and 18 to get 234.

$$-\frac{234+11}{18}-\frac{7}{3}+15.25$$

Add 234 and 11 to get 245.

$$-\frac{245}{18}-\frac{7}{3}+15.25$$

Least common multiple of 18 and 3 is 18. Convert -\frac{245}{18} and \frac{7}{3} to fractions with denominator 18.

$$-\frac{245}{18}-\frac{42}{18}+15.25$$

Since -\frac{245}{18} and \frac{42}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-245-42}{18}+15.25$$

Subtract 42 from -245 to get -287.

$$-\frac{287}{18}+15.25$$

Convert decimal number 15.25 to fraction \frac{1525}{100}. Reduce the fraction \frac{1525}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{287}{18}+\frac{61}{4}$$

Least common multiple of 18 and 4 is 36. Convert -\frac{287}{18} and \frac{61}{4} to fractions with denominator 36.

$$-\frac{574}{36}+\frac{549}{36}$$

Since -\frac{574}{36} and \frac{549}{36} have the same denominator, add them by adding their numerators.

$$\frac{-574+549}{36}$$

Add -574 and 549 to get -25.

$$-\frac{25}{36}$$

Factor

$$-\frac{25}{36} = -0.6944444444444444$$