Evaluate 2/3-1/2+8/15

Math
23-12+815
To write 23 as a fraction with a common denominator, multiply by 22.
23⋅22-12+815
To write -12 as a fraction with a common denominator, multiply by 33.
23⋅22-12⋅33+815
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
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Multiply 23 and 22.
2⋅23⋅2-12⋅33+815
Multiply 3 by 2.
2⋅26-12⋅33+815
Multiply 12 and 33.
2⋅26-32⋅3+815
Multiply 2 by 3.
2⋅26-36+815
2⋅26-36+815
Combine the numerators over the common denominator.
2⋅2-36+815
Simplify the numerator.
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Multiply 2 by 2.
4-36+815
Subtract 3 from 4.
16+815
16+815
To write 16 as a fraction with a common denominator, multiply by 55.
16⋅55+815
To write 815 as a fraction with a common denominator, multiply by 22.
16⋅55+815⋅22
Write each expression with a common denominator of 30, by multiplying each by an appropriate factor of 1.
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Multiply 16 and 55.
56⋅5+815⋅22
Multiply 6 by 5.
530+815⋅22
Multiply 815 and 22.
530+8⋅215⋅2
Multiply 15 by 2.
530+8⋅230
530+8⋅230
Combine the numerators over the common denominator.
5+8⋅230
Simplify the numerator.
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Multiply 8 by 2.
5+1630
Add 5 and 16.
2130
2130
Cancel the common factor of 21 and 30.
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Factor 3 out of 21.
3(7)30
Cancel the common factors.
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Factor 3 out of 30.
3⋅73⋅10
Cancel the common factor.
3⋅73⋅10
Rewrite the expression.
710
710
710
The result can be shown in multiple forms.
Exact Form:
710
Decimal Form:
0.7
Evaluate 2/3-1/2+8/15

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