Subtract (4 1/8+6 1/4)-2 1/2

Math
(418+614)-212
Convert 418 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
4+18+614-212
Add 4 and 18.
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To write 4 as a fraction with a common denominator, multiply by 88.
4⋅88+18+614-212
Combine 4 and 88.
4⋅88+18+614-212
Combine the numerators over the common denominator.
4⋅8+18+614-212
Simplify the numerator.
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Multiply 4 by 8.
32+18+614-212
Add 32 and 1.
338+614-212
338+614-212
338+614-212
338+614-212
Convert 614 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
338+6+14-212
Add 6 and 14.
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To write 6 as a fraction with a common denominator, multiply by 44.
338+6⋅44+14-212
Combine 6 and 44.
338+6⋅44+14-212
Combine the numerators over the common denominator.
338+6⋅4+14-212
Simplify the numerator.
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Multiply 6 by 4.
338+24+14-212
Add 24 and 1.
338+254-212
338+254-212
338+254-212
338+254-212
Convert 212 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
338+254-(2+12)
Add 2 and 12.
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To write 2 as a fraction with a common denominator, multiply by 22.
338+254-(2⋅22+12)
Combine 2 and 22.
338+254-(2⋅22+12)
Combine the numerators over the common denominator.
338+254-2⋅2+12
Simplify the numerator.
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Multiply 2 by 2.
338+254-4+12
Add 4 and 1.
338+254-52
338+254-52
338+254-52
338+254-52
To write 254 as a fraction with a common denominator, multiply by 22.
338+254⋅22-52
Write each expression with a common denominator of 8, by multiplying each by an appropriate factor of 1.
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Multiply 254 and 22.
338+25⋅24⋅2-52
Multiply 4 by 2.
338+25⋅28-52
338+25⋅28-52
Combine the numerators over the common denominator.
33+25⋅28-52
Simplify the numerator.
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Multiply 25 by 2.
33+508-52
Add 33 and 50.
838-52
838-52
To write -52 as a fraction with a common denominator, multiply by 44.
838-52⋅44
Write each expression with a common denominator of 8, by multiplying each by an appropriate factor of 1.
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Multiply 52 and 44.
838-5⋅42⋅4
Multiply 2 by 4.
838-5⋅48
838-5⋅48
Combine the numerators over the common denominator.
83-5⋅48
Simplify the numerator.
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Multiply -5 by 4.
83-208
Subtract 20 from 83.
638
638
The result can be shown in multiple forms.
Exact Form:
638
Decimal Form:
7.875
Mixed Number Form:
778
Subtract (4 1/8+6 1/4)-2 1/2

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