# Simplify 3 1/2-2 2/5

312-225
Convert 312 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
3+12-225
To write 3 as a fraction with a common denominator, multiply by 22.
3⋅22+12-225
Combine 3 and 22.
3⋅22+12-225
Combine the numerators over the common denominator.
3⋅2+12-225
Simplify the numerator.
Multiply 3 by 2.
6+12-225
72-225
72-225
72-225
72-225
Convert 225 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
72-(2+25)
To write 2 as a fraction with a common denominator, multiply by 55.
72-(2⋅55+25)
Combine 2 and 55.
72-(2⋅55+25)
Combine the numerators over the common denominator.
72-2⋅5+25
Simplify the numerator.
Multiply 2 by 5.
72-10+25
72-125
72-125
72-125
72-125
To write 72 as a fraction with a common denominator, multiply by 55.
72⋅55-125
To write -125 as a fraction with a common denominator, multiply by 22.
72⋅55-125⋅22
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
Multiply 72 and 55.
7⋅52⋅5-125⋅22
Multiply 2 by 5.
7⋅510-125⋅22
Multiply 125 and 22.
7⋅510-12⋅25⋅2
Multiply 5 by 2.
7⋅510-12⋅210
7⋅510-12⋅210
Combine the numerators over the common denominator.
7⋅5-12⋅210
Simplify the numerator.
Multiply 7 by 5.
35-12⋅210
Multiply -12 by 2.
35-2410
Subtract 24 from 35.
1110
1110
The result can be shown in multiple forms.
Exact Form:
1110
Decimal Form:
1.1
Mixed Number Form:
1110
Simplify 3 1/2-2 2/5

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