Evaluate (7 1/2)-2 2/5

Math
(712)-225
Convert 712 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
7+12-225
Add 7 and 12.
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To write 7 as a fraction with a common denominator, multiply by 22.
7⋅22+12-225
Combine 7 and 22.
7⋅22+12-225
Combine the numerators over the common denominator.
7⋅2+12-225
Simplify the numerator.
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Multiply 7 by 2.
14+12-225
Add 14 and 1.
152-225
152-225
152-225
152-225
Convert 225 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
152-(2+25)
Add 2 and 25.
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To write 2 as a fraction with a common denominator, multiply by 55.
152-(2⋅55+25)
Combine 2 and 55.
152-(2⋅55+25)
Combine the numerators over the common denominator.
152-2⋅5+25
Simplify the numerator.
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Multiply 2 by 5.
152-10+25
Add 10 and 2.
152-125
152-125
152-125
152-125
To write 152 as a fraction with a common denominator, multiply by 55.
152⋅55-125
To write -125 as a fraction with a common denominator, multiply by 22.
152⋅55-125⋅22
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
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Multiply 152 and 55.
15⋅52⋅5-125⋅22
Multiply 2 by 5.
15⋅510-125⋅22
Multiply 125 and 22.
15⋅510-12⋅25⋅2
Multiply 5 by 2.
15⋅510-12⋅210
15⋅510-12⋅210
Combine the numerators over the common denominator.
15⋅5-12⋅210
Simplify the numerator.
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Multiply 15 by 5.
75-12⋅210
Multiply -12 by 2.
75-2410
Subtract 24 from 75.
5110
5110
The result can be shown in multiple forms.
Exact Form:
5110
Decimal Form:
5.1
Mixed Number Form:
5110
Evaluate (7 1/2)-2 2/5

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