# Evaluate 3 1/2+2 2/6 312+226
Convert 312 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
3+12+226
To write 3 as a fraction with a common denominator, multiply by 22.
3⋅22+12+226
Combine 3 and 22.
3⋅22+12+226
Combine the numerators over the common denominator.
3⋅2+12+226
Simplify the numerator.
Multiply 3 by 2.
6+12+226
72+226
72+226
72+226
72+226
Convert 226 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
72+2+26
To write 2 as a fraction with a common denominator, multiply by 66.
72+2⋅66+26
Combine 2 and 66.
72+2⋅66+26
Combine the numerators over the common denominator.
72+2⋅6+26
Simplify the numerator.
Multiply 2 by 6.
72+12+26
72+146
72+146
72+146
72+146
Cancel the common factor of 14 and 6.
Factor 2 out of 14.
72+2(7)6
Cancel the common factors.
Factor 2 out of 6.
72+2⋅72⋅3
Cancel the common factor.
72+2⋅72⋅3
Rewrite the expression.
72+73
72+73
72+73
To write 72 as a fraction with a common denominator, multiply by 33.
72⋅33+73
To write 73 as a fraction with a common denominator, multiply by 22.
72⋅33+73⋅22
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply 72 and 33.
7⋅32⋅3+73⋅22
Multiply 2 by 3.
7⋅36+73⋅22
Multiply 73 and 22.
7⋅36+7⋅23⋅2
Multiply 3 by 2.
7⋅36+7⋅26
7⋅36+7⋅26
Combine the numerators over the common denominator.
7⋅3+7⋅26
Simplify the numerator.
Multiply 7 by 3.
21+7⋅26
Multiply 7 by 2.
21+146
356
356
The result can be shown in multiple forms.
Exact Form:
356
Decimal Form:
5.83‾
Mixed Number Form:
556
Evaluate 3 1/2+2 2/6

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