Solve 3/8-7/4+2/161=

$$\frac { 3 } { 8 } - \frac { 7 } { 4 } + \frac { 2 } { 161 } =$$

Evaluate

$$-\frac{1755}{1288}\approx -1.36257764$$

Solution Steps

Least common multiple of 8 and 4 is 8. Convert \frac{3}{8} and \frac{7}{4} to fractions with denominator 8.

$$\frac{3}{8}-\frac{14}{8}+\frac{2}{161}$$

Since \frac{3}{8} and \frac{14}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-14}{8}+\frac{2}{161}$$

Subtract 14 from 3 to get -11.

$$-\frac{11}{8}+\frac{2}{161}$$

Least common multiple of 8 and 161 is 1288. Convert -\frac{11}{8} and \frac{2}{161} to fractions with denominator 1288.

$$-\frac{1771}{1288}+\frac{16}{1288}$$

Since -\frac{1771}{1288} and \frac{16}{1288} have the same denominator, add them by adding their numerators.

$$\frac{-1771+16}{1288}$$

Add -1771 and 16 to get -1755.

$$-\frac{1755}{1288}$$

Factor

$$-\frac{1755}{1288} = -1\frac{467}{1288} = -1.3625776397515528$$