Solve (-239)+(-157)+(+35/6)+(-51/7)+(+21/6)+(-761)+(-326/7)+(+157)

$$(-239)+(-157)+(+ 3 \frac { 5 } { 6 } )+(- 5 \frac { 1 } { 7 } )+(+ 2 \frac { 1 } { 6 } )+(-761)+(- 32 \frac { 6 } { 7 } )+(+157)$$

Evaluate

$$-1032$$

Solution Steps

Subtract 157 from -239 to get -396.

$$-396+\frac{3\times 6+5}{6}-\frac{5\times 7+1}{7}+\frac{2\times 6+1}{6}-761-\frac{32\times 7+6}{7}+157$$

Multiply 3 and 6 to get 18.

$$-396+\frac{18+5}{6}-\frac{5\times 7+1}{7}+\frac{2\times 6+1}{6}-761-\frac{32\times 7+6}{7}+157$$

Add 18 and 5 to get 23.

$$-396+\frac{23}{6}-\frac{5\times 7+1}{7}+\frac{2\times 6+1}{6}-761-\frac{32\times 7+6}{7}+157$$

Convert -396 to fraction -\frac{2376}{6}.

$$-\frac{2376}{6}+\frac{23}{6}-\frac{5\times 7+1}{7}+\frac{2\times 6+1}{6}-761-\frac{32\times 7+6}{7}+157$$

Since -\frac{2376}{6} and \frac{23}{6} have the same denominator, add them by adding their numerators.

$$\frac{-2376+23}{6}-\frac{5\times 7+1}{7}+\frac{2\times 6+1}{6}-761-\frac{32\times 7+6}{7}+157$$

Add -2376 and 23 to get -2353.

$$-\frac{2353}{6}-\frac{5\times 7+1}{7}+\frac{2\times 6+1}{6}-761-\frac{32\times 7+6}{7}+157$$

Multiply 5 and 7 to get 35.

$$-\frac{2353}{6}-\frac{35+1}{7}+\frac{2\times 6+1}{6}-761-\frac{32\times 7+6}{7}+157$$

Add 35 and 1 to get 36.

$$-\frac{2353}{6}-\frac{36}{7}+\frac{2\times 6+1}{6}-761-\frac{32\times 7+6}{7}+157$$

Least common multiple of 6 and 7 is 42. Convert -\frac{2353}{6} and \frac{36}{7} to fractions with denominator 42.

$$-\frac{16471}{42}-\frac{216}{42}+\frac{2\times 6+1}{6}-761-\frac{32\times 7+6}{7}+157$$

Since -\frac{16471}{42} and \frac{216}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-16471-216}{42}+\frac{2\times 6+1}{6}-761-\frac{32\times 7+6}{7}+157$$

Subtract 216 from -16471 to get -16687.

$$-\frac{16687}{42}+\frac{2\times 6+1}{6}-761-\frac{32\times 7+6}{7}+157$$

Multiply 2 and 6 to get 12.

$$-\frac{16687}{42}+\frac{12+1}{6}-761-\frac{32\times 7+6}{7}+157$$

Add 12 and 1 to get 13.

$$-\frac{16687}{42}+\frac{13}{6}-761-\frac{32\times 7+6}{7}+157$$

Least common multiple of 42 and 6 is 42. Convert -\frac{16687}{42} and \frac{13}{6} to fractions with denominator 42.

$$-\frac{16687}{42}+\frac{91}{42}-761-\frac{32\times 7+6}{7}+157$$

Since -\frac{16687}{42} and \frac{91}{42} have the same denominator, add them by adding their numerators.

$$\frac{-16687+91}{42}-761-\frac{32\times 7+6}{7}+157$$

Add -16687 and 91 to get -16596.

$$\frac{-16596}{42}-761-\frac{32\times 7+6}{7}+157$$

Reduce the fraction \frac{-16596}{42} to lowest terms by extracting and canceling out 6.

$$-\frac{2766}{7}-761-\frac{32\times 7+6}{7}+157$$

Convert 761 to fraction \frac{5327}{7}.

$$-\frac{2766}{7}-\frac{5327}{7}-\frac{32\times 7+6}{7}+157$$

Since -\frac{2766}{7} and \frac{5327}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2766-5327}{7}-\frac{32\times 7+6}{7}+157$$

Subtract 5327 from -2766 to get -8093.

$$-\frac{8093}{7}-\frac{32\times 7+6}{7}+157$$

Multiply 32 and 7 to get 224.

$$-\frac{8093}{7}-\frac{224+6}{7}+157$$

Add 224 and 6 to get 230.

$$-\frac{8093}{7}-\frac{230}{7}+157$$

Since -\frac{8093}{7} and \frac{230}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-8093-230}{7}+157$$

Subtract 230 from -8093 to get -8323.

$$\frac{-8323}{7}+157$$

Divide -8323 by 7 to get -1189.

$$-1189+157$$

Add -1189 and 157 to get -1032.

$$-1032$$

Factor

$$-1032$$