Simplify 7 3/7÷2 2/5

Math
737÷225
Convert 737 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
7+37225
Add 7 and 37.
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To write 7 as a fraction with a common denominator, multiply by 77.
7⋅77+37225
Combine 7 and 77.
7⋅77+37225
Combine the numerators over the common denominator.
7⋅7+37225
Simplify the numerator.
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Multiply 7 by 7.
49+37225
Add 49 and 3.
527225
527225
527225
527225
Convert 225 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
5272+25
Add 2 and 25.
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To write 2 as a fraction with a common denominator, multiply by 55.
5272⋅55+25
Combine 2 and 55.
5272⋅55+25
Combine the numerators over the common denominator.
5272⋅5+25
Simplify the numerator.
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Multiply 2 by 5.
52710+25
Add 10 and 2.
527125
527125
527125
527125
Multiply the numerator by the reciprocal of the denominator.
527⋅512
Cancel the common factor of 4.
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Factor 4 out of 52.
4(13)7⋅512
Factor 4 out of 12.
4⋅137⋅54⋅3
Cancel the common factor.
4⋅137⋅54⋅3
Rewrite the expression.
137⋅53
137⋅53
Multiply 137 and 53.
13⋅57⋅3
Multiply.
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Multiply 13 by 5.
657⋅3
Multiply 7 by 3.
6521
6521
The result can be shown in multiple forms.
Exact Form:
6521
Decimal Form:
3.09523809…
Mixed Number Form:
3221
Simplify 7 3/7÷2 2/5

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