Solve 3587-(-5)+(-51/2)+(+7)-(+31/4)-(+1587)

$$3587 - ( - 5 ) + ( - 5 \frac { 1 } { 2 } ) + ( + 7 ) - ( + 3 \frac { 1 } { 4 } ) - ( + 1587 )$$

Evaluate

$$\frac{8013}{4}=2003.25$$

Solution Steps

The opposite of -5 is 5.

$$3587+5-\frac{5\times 2+1}{2}+7-\frac{3\times 4+1}{4}-1587$$

Add 3587 and 5 to get 3592.

$$3592-\frac{5\times 2+1}{2}+7-\frac{3\times 4+1}{4}-1587$$

Multiply 5 and 2 to get 10.

$$3592-\frac{10+1}{2}+7-\frac{3\times 4+1}{4}-1587$$

Add 10 and 1 to get 11.

$$3592-\frac{11}{2}+7-\frac{3\times 4+1}{4}-1587$$

Convert 3592 to fraction \frac{7184}{2}.

$$\frac{7184}{2}-\frac{11}{2}+7-\frac{3\times 4+1}{4}-1587$$

Since \frac{7184}{2} and \frac{11}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7184-11}{2}+7-\frac{3\times 4+1}{4}-1587$$

Subtract 11 from 7184 to get 7173.

$$\frac{7173}{2}+7-\frac{3\times 4+1}{4}-1587$$

Convert 7 to fraction \frac{14}{2}.

$$\frac{7173}{2}+\frac{14}{2}-\frac{3\times 4+1}{4}-1587$$

Since \frac{7173}{2} and \frac{14}{2} have the same denominator, add them by adding their numerators.

$$\frac{7173+14}{2}-\frac{3\times 4+1}{4}-1587$$

Add 7173 and 14 to get 7187.

$$\frac{7187}{2}-\frac{3\times 4+1}{4}-1587$$

Multiply 3 and 4 to get 12.

$$\frac{7187}{2}-\frac{12+1}{4}-1587$$

Add 12 and 1 to get 13.

$$\frac{7187}{2}-\frac{13}{4}-1587$$

Least common multiple of 2 and 4 is 4. Convert \frac{7187}{2} and \frac{13}{4} to fractions with denominator 4.

$$\frac{14374}{4}-\frac{13}{4}-1587$$

Since \frac{14374}{4} and \frac{13}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14374-13}{4}-1587$$

Subtract 13 from 14374 to get 14361.

$$\frac{14361}{4}-1587$$

Convert 1587 to fraction \frac{6348}{4}.

$$\frac{14361}{4}-\frac{6348}{4}$$

Since \frac{14361}{4} and \frac{6348}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14361-6348}{4}$$

Subtract 6348 from 14361 to get 8013.

$$\frac{8013}{4}$$

Factor

$$\frac{3 \cdot 2671}{2 ^ {2}} = 2003\frac{1}{4} = 2003.25$$