# Simplify 4 2/3÷2 2/9

423÷229
Convert 423 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
4+23229
Add 4 and 23.
To write 4 as a fraction with a common denominator, multiply by 33.
4⋅33+23229
Combine 4 and 33.
4⋅33+23229
Combine the numerators over the common denominator.
4⋅3+23229
Simplify the numerator.
Multiply 4 by 3.
12+23229
Add 12 and 2.
143229
143229
143229
143229
Convert 229 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
1432+29
Add 2 and 29.
To write 2 as a fraction with a common denominator, multiply by 99.
1432⋅99+29
Combine 2 and 99.
1432⋅99+29
Combine the numerators over the common denominator.
1432⋅9+29
Simplify the numerator.
Multiply 2 by 9.
14318+29
Add 18 and 2.
143209
143209
143209
143209
Multiply the numerator by the reciprocal of the denominator.
143⋅920
Cancel the common factor of 2.
Factor 2 out of 14.
2(7)3⋅920
Factor 2 out of 20.
2⋅73⋅92⋅10
Cancel the common factor.
2⋅73⋅92⋅10
Rewrite the expression.
73⋅910
73⋅910
Cancel the common factor of 3.
Factor 3 out of 9.
73⋅3(3)10
Cancel the common factor.
73⋅3⋅310
Rewrite the expression.
7(310)
7(310)
Combine 7 and 310.
7⋅310
Multiply 7 by 3.
2110
The result can be shown in multiple forms.
Exact Form:
2110
Decimal Form:
2.1
Mixed Number Form:
2110
Simplify 4 2/3÷2 2/9

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