# Evaluate 3 1/2-19 1/3

312-1913
Convert 312 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
3+12-1913
To write 3 as a fraction with a common denominator, multiply by 22.
3⋅22+12-1913
Combine 3 and 22.
3⋅22+12-1913
Combine the numerators over the common denominator.
3⋅2+12-1913
Simplify the numerator.
Multiply 3 by 2.
6+12-1913
72-1913
72-1913
72-1913
72-1913
Convert 1913 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
72-(19+13)
To write 19 as a fraction with a common denominator, multiply by 33.
72-(19⋅33+13)
Combine 19 and 33.
72-(19⋅33+13)
Combine the numerators over the common denominator.
72-19⋅3+13
Simplify the numerator.
Multiply 19 by 3.
72-57+13
72-583
72-583
72-583
72-583
To write 72 as a fraction with a common denominator, multiply by 33.
72⋅33-583
To write -583 as a fraction with a common denominator, multiply by 22.
72⋅33-583⋅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⋅3-583⋅22
Multiply 2 by 3.
7⋅36-583⋅22
Multiply 583 and 22.
7⋅36-58⋅23⋅2
Multiply 3 by 2.
7⋅36-58⋅26
7⋅36-58⋅26
Combine the numerators over the common denominator.
7⋅3-58⋅26
Simplify the numerator.
Multiply 7 by 3.
21-58⋅26
Multiply -58 by 2.
21-1166
Subtract 116 from 21.
-956
-956
Move the negative in front of the fraction.
-956
The result can be shown in multiple forms.
Exact Form:
-956
Decimal Form:
-15.83‾
Mixed Number Form:
-1556
Evaluate 3 1/2-19 1/3

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