Evaluate 5 1/3÷2 2/9

Math
513÷229
Convert 513 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
5+13229
Add 5 and 13.
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To write 5 as a fraction with a common denominator, multiply by 33.
5⋅33+13229
Combine 5 and 33.
5⋅33+13229
Combine the numerators over the common denominator.
5⋅3+13229
Simplify the numerator.
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Multiply 5 by 3.
15+13229
Add 15 and 1.
163229
163229
163229
163229
Convert 229 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
1632+29
Add 2 and 29.
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To write 2 as a fraction with a common denominator, multiply by 99.
1632⋅99+29
Combine 2 and 99.
1632⋅99+29
Combine the numerators over the common denominator.
1632⋅9+29
Simplify the numerator.
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Multiply 2 by 9.
16318+29
Add 18 and 2.
163209
163209
163209
163209
Multiply the numerator by the reciprocal of the denominator.
163⋅920
Cancel the common factor of 4.
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Factor 4 out of 16.
4(4)3⋅920
Factor 4 out of 20.
4⋅43⋅94⋅5
Cancel the common factor.
4⋅43⋅94⋅5
Rewrite the expression.
43⋅95
43⋅95
Cancel the common factor of 3.
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Factor 3 out of 9.
43⋅3(3)5
Cancel the common factor.
43⋅3⋅35
Rewrite the expression.
4(35)
4(35)
Combine 4 and 35.
4⋅35
Multiply 4 by 3.
125
The result can be shown in multiple forms.
Exact Form:
125
Decimal Form:
2.4
Mixed Number Form:
225
Evaluate 5 1/3÷2 2/9

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