Solve -59/35+p+411/98+62/35+(-518/98)+k

$$- 5 \frac { 9 } { 35 } + p + 4 \frac { 11 } { 98 } + 6 \frac { 2 } { 35 } + ( - 5 \frac { 18 } { 98 } ) + k$$

Evaluate

$$p+k-\frac{19}{70}$$

Solution Steps

Multiply 5 and 35 to get 175.

$$-\frac{175+9}{35}+p+\frac{4\times 98+11}{98}+\frac{6\times 35+2}{35}-\frac{5\times 98+18}{98}+k$$

Add 175 and 9 to get 184.

$$-\frac{184}{35}+p+\frac{4\times 98+11}{98}+\frac{6\times 35+2}{35}-\frac{5\times 98+18}{98}+k$$

Multiply 4 and 98 to get 392.

$$-\frac{184}{35}+p+\frac{392+11}{98}+\frac{6\times 35+2}{35}-\frac{5\times 98+18}{98}+k$$

Add 392 and 11 to get 403.

$$-\frac{184}{35}+p+\frac{403}{98}+\frac{6\times 35+2}{35}-\frac{5\times 98+18}{98}+k$$

Least common multiple of 35 and 98 is 490. Convert -\frac{184}{35} and \frac{403}{98} to fractions with denominator 490.

$$-\frac{2576}{490}+p+\frac{2015}{490}+\frac{6\times 35+2}{35}-\frac{5\times 98+18}{98}+k$$

Since -\frac{2576}{490} and \frac{2015}{490} have the same denominator, add them by adding their numerators.

$$\frac{-2576+2015}{490}+p+\frac{6\times 35+2}{35}-\frac{5\times 98+18}{98}+k$$

Add -2576 and 2015 to get -561.

$$-\frac{561}{490}+p+\frac{6\times 35+2}{35}-\frac{5\times 98+18}{98}+k$$

Multiply 6 and 35 to get 210.

$$-\frac{561}{490}+p+\frac{210+2}{35}-\frac{5\times 98+18}{98}+k$$

Add 210 and 2 to get 212.

$$-\frac{561}{490}+p+\frac{212}{35}-\frac{5\times 98+18}{98}+k$$

Least common multiple of 490 and 35 is 490. Convert -\frac{561}{490} and \frac{212}{35} to fractions with denominator 490.

$$-\frac{561}{490}+p+\frac{2968}{490}-\frac{5\times 98+18}{98}+k$$

Since -\frac{561}{490} and \frac{2968}{490} have the same denominator, add them by adding their numerators.

$$\frac{-561+2968}{490}+p-\frac{5\times 98+18}{98}+k$$

Add -561 and 2968 to get 2407.

$$\frac{2407}{490}+p-\frac{5\times 98+18}{98}+k$$

Multiply 5 and 98 to get 490.

$$\frac{2407}{490}+p-\frac{490+18}{98}+k$$

Add 490 and 18 to get 508.

$$\frac{2407}{490}+p-\frac{508}{98}+k$$

Reduce the fraction \frac{508}{98} to lowest terms by extracting and canceling out 2.

$$\frac{2407}{490}+p-\frac{254}{49}+k$$

Least common multiple of 490 and 49 is 490. Convert \frac{2407}{490} and \frac{254}{49} to fractions with denominator 490.

$$\frac{2407}{490}+p-\frac{2540}{490}+k$$

Since \frac{2407}{490} and \frac{2540}{490} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2407-2540}{490}+p+k$$

Subtract 2540 from 2407 to get -133.

$$\frac{-133}{490}+p+k$$

Reduce the fraction \frac{-133}{490} to lowest terms by extracting and canceling out 7.

$$-\frac{19}{70}+p+k$$

Expand

$$p+k-\frac{19}{70}$$

Solution Steps

Multiply 5 and 35 to get 175.

$$-\frac{175+9}{35}+p+\frac{4\times 98+11}{98}+\frac{6\times 35+2}{35}-\frac{5\times 98+18}{98}+k$$

Add 175 and 9 to get 184.

$$-\frac{184}{35}+p+\frac{4\times 98+11}{98}+\frac{6\times 35+2}{35}-\frac{5\times 98+18}{98}+k$$

Multiply 4 and 98 to get 392.

$$-\frac{184}{35}+p+\frac{392+11}{98}+\frac{6\times 35+2}{35}-\frac{5\times 98+18}{98}+k$$

Add 392 and 11 to get 403.

$$-\frac{184}{35}+p+\frac{403}{98}+\frac{6\times 35+2}{35}-\frac{5\times 98+18}{98}+k$$

Least common multiple of 35 and 98 is 490. Convert -\frac{184}{35} and \frac{403}{98} to fractions with denominator 490.

$$-\frac{2576}{490}+p+\frac{2015}{490}+\frac{6\times 35+2}{35}-\frac{5\times 98+18}{98}+k$$

Since -\frac{2576}{490} and \frac{2015}{490} have the same denominator, add them by adding their numerators.

$$\frac{-2576+2015}{490}+p+\frac{6\times 35+2}{35}-\frac{5\times 98+18}{98}+k$$

Add -2576 and 2015 to get -561.

$$-\frac{561}{490}+p+\frac{6\times 35+2}{35}-\frac{5\times 98+18}{98}+k$$

Multiply 6 and 35 to get 210.

$$-\frac{561}{490}+p+\frac{210+2}{35}-\frac{5\times 98+18}{98}+k$$

Add 210 and 2 to get 212.

$$-\frac{561}{490}+p+\frac{212}{35}-\frac{5\times 98+18}{98}+k$$

Least common multiple of 490 and 35 is 490. Convert -\frac{561}{490} and \frac{212}{35} to fractions with denominator 490.

$$-\frac{561}{490}+p+\frac{2968}{490}-\frac{5\times 98+18}{98}+k$$

Since -\frac{561}{490} and \frac{2968}{490} have the same denominator, add them by adding their numerators.

$$\frac{-561+2968}{490}+p-\frac{5\times 98+18}{98}+k$$

Add -561 and 2968 to get 2407.

$$\frac{2407}{490}+p-\frac{5\times 98+18}{98}+k$$

Multiply 5 and 98 to get 490.

$$\frac{2407}{490}+p-\frac{490+18}{98}+k$$

Add 490 and 18 to get 508.

$$\frac{2407}{490}+p-\frac{508}{98}+k$$

Reduce the fraction \frac{508}{98} to lowest terms by extracting and canceling out 2.

$$\frac{2407}{490}+p-\frac{254}{49}+k$$

Least common multiple of 490 and 49 is 490. Convert \frac{2407}{490} and \frac{254}{49} to fractions with denominator 490.

$$\frac{2407}{490}+p-\frac{2540}{490}+k$$

Since \frac{2407}{490} and \frac{2540}{490} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2407-2540}{490}+p+k$$

Subtract 2540 from 2407 to get -133.

$$\frac{-133}{490}+p+k$$

Reduce the fraction \frac{-133}{490} to lowest terms by extracting and canceling out 7.

$$-\frac{19}{70}+p+k$$