# Evaluate -(-1/5+(-1/7+1/3-(-1/5-1/2)))-2 -(-15+(-17+13-(-15-12)))-2
Remove parentheses.
-(-15-17+13-(-15-12))-2
Simplify each term.
Simplify each term.
To write -15 as a fraction with a common denominator, multiply by 22.
-(-15-17+13-(-15⋅22-12))-2
To write -12 as a fraction with a common denominator, multiply by 55.
-(-15-17+13-(-15⋅22-12⋅55))-2
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
Multiply 15 and 22.
-(-15-17+13-(-25⋅2-12⋅55))-2
Multiply 5 by 2.
-(-15-17+13-(-210-12⋅55))-2
Multiply 12 and 55.
-(-15-17+13-(-210-52⋅5))-2
Multiply 2 by 5.
-(-15-17+13-(-210-510))-2
-(-15-17+13-(-210-510))-2
Combine the numerators over the common denominator.
-(-15-17+13–2-510)-2
Subtract 5 from -2.
-(-15-17+13–710)-2
Move the negative in front of the fraction.
-(-15-17+13–710)-2
Multiply –710.
Multiply -1 by -1.
-(-15-17+13+1(710))-2
Multiply 710 by 1.
-(-15-17+13+710)-2
-(-15-17+13+710)-2
-(-15-17+13+710)-2
To write -15 as a fraction with a common denominator, multiply by 77.
-(-15⋅77-17+13+710)-2
To write -17 as a fraction with a common denominator, multiply by 55.
-(-15⋅77-17⋅55+13+710)-2
Write each expression with a common denominator of 35, by multiplying each by an appropriate factor of 1.
Multiply 15 and 77.
-(-75⋅7-17⋅55+13+710)-2
Multiply 5 by 7.
-(-735-17⋅55+13+710)-2
Multiply 17 and 55.
-(-735-57⋅5+13+710)-2
Multiply 7 by 5.
-(-735-535+13+710)-2
-(-735-535+13+710)-2
Combine the numerators over the common denominator.
-(-7-535+13+710)-2
Subtract 5 from -7.
-(-1235+13+710)-2
Find the common denominator.
Multiply -1235 by 66.
-(-1235⋅66+13+710)-2
Combine.
-(-12⋅635⋅6+13+710)-2
Multiply 13 by 7070.
-(-12⋅635⋅6+13⋅7070+710)-2
Combine.
-(-12⋅635⋅6+1⋅703⋅70+710)-2
Multiply 710 by 2121.
-(-12⋅635⋅6+1⋅703⋅70+710⋅2121)-2
Combine.
-(-12⋅635⋅6+1⋅703⋅70+7⋅2110⋅21)-2
Reorder the factors of 35⋅6.
-(-12⋅66⋅35+1⋅703⋅70+7⋅2110⋅21)-2
Multiply 6 by 35.
-(-12⋅6210+1⋅703⋅70+7⋅2110⋅21)-2
Multiply 3 by 70.
-(-12⋅6210+1⋅70210+7⋅2110⋅21)-2
Multiply 10 by 21.
-(-12⋅6210+1⋅70210+7⋅21210)-2
-(-12⋅6210+1⋅70210+7⋅21210)-2
Combine fractions with similar denominators.
–12⋅6+1⋅70+7⋅21210-2
Multiply -12 by 6.
–72+1⋅70+7⋅21210-2
Multiply 70 by 1.
–72+70+7⋅21210-2
Multiply 7 by 21.
–72+70+147210-2
Simplify the numerator.
Add -72 and 70.
–2+147210-2
Add -2 and 147.
-145210-2
-145210-2
Cancel the common factor of 145 and 210.
Factor 5 out of 145.
-5(29)210-2
Cancel the common factors.
Factor 5 out of 210.
-5⋅295⋅42-2
Cancel the common factor.
-5⋅295⋅42-2
Rewrite the expression.
-2942-2
-2942-2
-2942-2
-2942-2
To write -2 as a fraction with a common denominator, multiply by 4242.
-2942-2⋅4242
Combine -2 and 4242.
-2942+-2⋅4242
Combine the numerators over the common denominator.
-29-2⋅4242
Simplify the numerator.
Multiply -2 by 42.
-29-8442
Subtract 84 from -29.
-11342
-11342
Move the negative in front of the fraction.
-11342
The result can be shown in multiple forms.
Exact Form:
-11342
Decimal Form:
-2.69047619…
Mixed Number Form:
-22942
Evaluate -(-1/5+(-1/7+1/3-(-1/5-1/2)))-2

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