Solve -13/8+-8/35+3/7

$$\frac { - 13 } { 8 } + \frac { - 8 } { 35 } + \frac { 3 } { 7 }$$

Evaluate

$$-\frac{57}{40}=-1.425$$

Solution Steps

Fraction \frac{-13}{8} can be rewritten as -\frac{13}{8} by extracting the negative sign.

$$-\frac{13}{8}+\frac{-8}{35}+\frac{3}{7}$$

Fraction \frac{-8}{35} can be rewritten as -\frac{8}{35} by extracting the negative sign.

$$-\frac{13}{8}-\frac{8}{35}+\frac{3}{7}$$

Least common multiple of 8 and 35 is 280. Convert -\frac{13}{8} and \frac{8}{35} to fractions with denominator 280.

$$-\frac{455}{280}-\frac{64}{280}+\frac{3}{7}$$

Since -\frac{455}{280} and \frac{64}{280} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-455-64}{280}+\frac{3}{7}$$

Subtract 64 from -455 to get -519.

$$-\frac{519}{280}+\frac{3}{7}$$

Least common multiple of 280 and 7 is 280. Convert -\frac{519}{280} and \frac{3}{7} to fractions with denominator 280.

$$-\frac{519}{280}+\frac{120}{280}$$

Since -\frac{519}{280} and \frac{120}{280} have the same denominator, add them by adding their numerators.

$$\frac{-519+120}{280}$$

Add -519 and 120 to get -399.

$$\frac{-399}{280}$$

Reduce the fraction \frac{-399}{280} to lowest terms by extracting and canceling out 7.

$$-\frac{57}{40}$$

Factor

$$-\frac{57}{40} = -1\frac{17}{40} = -1.425$$