# Evaluate 1/3+5/6-8/12

13+56-812
Find the common denominator.
Multiply 13 by 44.
13⋅44+56-812
Combine.
1⋅43⋅4+56-812
Multiply 56 by 22.
1⋅43⋅4+56⋅22-812
Combine.
1⋅43⋅4+5⋅26⋅2-812
Multiply 3 by 4.
1⋅412+5⋅26⋅2-812
Reorder the factors of 6⋅2.
1⋅412+5⋅22⋅6-812
Multiply 2 by 6.
1⋅412+5⋅212-812
1⋅412+5⋅212-812
Simplify terms.
Combine fractions with similar denominators.
1⋅4+5⋅2-812
Multiply.
Multiply 4 by 1.
4+5⋅2-812
Multiply 5 by 2.
4+10-812
4+10-812
Reduce the expression 4+10-812 by cancelling the common factors.
Factor 2 out of 4.
2(2)+10-812
Factor 2 out of 10.
2⋅2+2⋅5-812
Factor 2 out of 2⋅2+2⋅5.
2⋅(2+5)-812
Factor 2 out of -8.
2⋅(2+5)+2(-4)12
Factor 2 out of 2⋅(2+5)+2(-4).
2⋅(2+5-4)12
Factor 2 out of 12.
2⋅(2+5-4)2(6)
Cancel the common factor.
2⋅(2+5-4)2⋅6
Rewrite the expression.
2+5-46
2+5-46
2+5-46
Simplify the numerator.
7-46
Subtract 4 from 7.
36
36
Cancel the common factor of 3 and 6.
Factor 3 out of 3.
3(1)6
Cancel the common factors.
Factor 3 out of 6.
3⋅13⋅2
Cancel the common factor.
3⋅13⋅2
Rewrite the expression.
12
12
12
The result can be shown in multiple forms.
Exact Form:
12
Decimal Form:
0.5
Evaluate 1/3+5/6-8/12

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