# Simplify 3/4-2/3+1/2+1/3

34-23+12+13
Combine fractions with similar denominators.
34+-2+13+12
Simplify the expression.
34+-13+12
Move the negative in front of the fraction.
34-13+12
34-13+12
To write 34 as a fraction with a common denominator, multiply by 33.
34⋅33-13+12
To write -13 as a fraction with a common denominator, multiply by 44.
34⋅33-13⋅44+12
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply 34 and 33.
3⋅34⋅3-13⋅44+12
Multiply 4 by 3.
3⋅312-13⋅44+12
Multiply 13 and 44.
3⋅312-43⋅4+12
Multiply 3 by 4.
3⋅312-412+12
3⋅312-412+12
Combine the numerators over the common denominator.
3⋅3-412+12
Simplify the numerator.
Multiply 3 by 3.
9-412+12
Subtract 4 from 9.
512+12
512+12
To write 12 as a fraction with a common denominator, multiply by 66.
512+12⋅66
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply 12 and 66.
512+62⋅6
Multiply 2 by 6.
512+612
512+612
Combine the numerators over the common denominator.
5+612
1112
The result can be shown in multiple forms.
Exact Form:
1112
Decimal Form:
0.916‾
Simplify 3/4-2/3+1/2+1/3

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