Solve 17-2543/35+561-11325/8

$$17 - \frac { 2543 } { 35 } + \frac { 561 - 11325 } { 8 }$$

Evaluate

$$-\frac{98081}{70}\approx -1401.157142857$$

Solution Steps

Convert 17 to fraction \frac{595}{35}.

$$\frac{595}{35}-\frac{2543}{35}+\frac{561-11325}{8}$$

Since \frac{595}{35} and \frac{2543}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{595-2543}{35}+\frac{561-11325}{8}$$

Subtract 2543 from 595 to get -1948.

$$-\frac{1948}{35}+\frac{561-11325}{8}$$

Subtract 11325 from 561 to get -10764.

$$-\frac{1948}{35}+\frac{-10764}{8}$$

Reduce the fraction \frac{-10764}{8} to lowest terms by extracting and canceling out 4.

$$-\frac{1948}{35}-\frac{2691}{2}$$

Least common multiple of 35 and 2 is 70. Convert -\frac{1948}{35} and \frac{2691}{2} to fractions with denominator 70.

$$-\frac{3896}{70}-\frac{94185}{70}$$

Since -\frac{3896}{70} and \frac{94185}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3896-94185}{70}$$

Subtract 94185 from -3896 to get -98081.

$$-\frac{98081}{70}$$

Factor

$$-\frac{98081}{70} = -1401\frac{11}{70} = -1401.1571428571428$$