# Evaluate 3 1/2÷5 2/3

312÷523
Convert 312 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
3+12523
To write 3 as a fraction with a common denominator, multiply by 22.
3⋅22+12523
Combine 3 and 22.
3⋅22+12523
Combine the numerators over the common denominator.
3⋅2+12523
Simplify the numerator.
Multiply 3 by 2.
6+12523
72523
72523
72523
72523
Convert 523 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
725+23
To write 5 as a fraction with a common denominator, multiply by 33.
725⋅33+23
Combine 5 and 33.
725⋅33+23
Combine the numerators over the common denominator.
725⋅3+23
Simplify the numerator.
Multiply 5 by 3.
7215+23
72173
72173
72173
72173
Multiply the numerator by the reciprocal of the denominator.
72⋅317
Multiply 72⋅317.
Multiply 72 and 317.
7⋅32⋅17
Multiply 7 by 3.
212⋅17
Multiply 2 by 17.
2134
2134
The result can be shown in multiple forms.
Exact Form:
2134
Decimal Form:
0.61764705…
Evaluate 3 1/2÷5 2/3

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