# Evaluate -(5/2-3/2)+7/3-5/2*(3/2-2)

-(52-32)+73-52⋅(32-2)
Simplify each term.
Combine the numerators over the common denominator.
-5-32+73-52⋅(32-2)
Subtract 3 from 5.
-22+73-52⋅(32-2)
Divide 2 by 2.
-1⋅1+73-52⋅(32-2)
Multiply -1 by 1.
-1+73-52⋅(32-2)
To write -2 as a fraction with a common denominator, multiply by 22.
-1+73-52⋅(32-2⋅22)
Combine -2 and 22.
-1+73-52⋅(32+-2⋅22)
Combine the numerators over the common denominator.
-1+73-52⋅3-2⋅22
Simplify the numerator.
Multiply -2 by 2.
-1+73-52⋅3-42
Subtract 4 from 3.
-1+73-52⋅-12
-1+73-52⋅-12
Move the negative in front of the fraction.
-1+73-52⋅(-12)
Multiply -52(-12).
Multiply -1 by -1.
-1+73+1(52)12
Multiply 52 by 1.
-1+73+52⋅12
Multiply 52 and 12.
-1+73+52⋅2
Multiply 2 by 2.
-1+73+54
-1+73+54
-1+73+54
Find the common denominator.
Write -1 as a fraction with denominator 1.
-11+73+54
Multiply -11 by 1212.
-11⋅1212+73+54
Multiply -11 and 1212.
-1⋅1212+73+54
Multiply 73 by 44.
-1⋅1212+73⋅44+54
Combine.
-1⋅1212+7⋅43⋅4+54
Multiply 54 by 33.
-1⋅1212+7⋅43⋅4+54⋅33
Combine.
-1⋅1212+7⋅43⋅4+5⋅34⋅3
Multiply 3 by 4.
-1⋅1212+7⋅412+5⋅34⋅3
Reorder the factors of 4⋅3.
-1⋅1212+7⋅412+5⋅33⋅4
Multiply 3 by 4.
-1⋅1212+7⋅412+5⋅312
-1⋅1212+7⋅412+5⋅312
Combine fractions.
Combine fractions with similar denominators.
-1⋅12+7⋅4+5⋅312
Multiply.
Multiply -1 by 12.
-12+7⋅4+5⋅312
Multiply 7 by 4.
-12+28+5⋅312
Multiply 5 by 3.
-12+28+1512
-12+28+1512
-12+28+1512
Simplify the numerator.
Add -12 and 28.
16+1512
Add 16 and 15.
3112
3112
The result can be shown in multiple forms.
Exact Form:
3112
Decimal Form:
2.583‾
Mixed Number Form:
2712
Evaluate -(5/2-3/2)+7/3-5/2*(3/2-2)

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