Evaluate (67/33+1/66)/(65/44)

Math
6733+1666544
Multiply the numerator by the reciprocal of the denominator.
(6733+166)4465
To write 6733 as a fraction with a common denominator, multiply by 22.
(6733⋅22+166)4465
Write each expression with a common denominator of 66, by multiplying each by an appropriate factor of 1.
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Multiply 6733 and 22.
(67⋅233⋅2+166)4465
Multiply 33 by 2.
(67⋅266+166)4465
(67⋅266+166)4465
Combine the numerators over the common denominator.
67⋅2+166⋅4465
Simplify the numerator.
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Multiply 67 by 2.
134+166⋅4465
Add 134 and 1.
13566⋅4465
13566⋅4465
Cancel the common factor of 5.
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Factor 5 out of 135.
5(27)66⋅4465
Factor 5 out of 65.
5⋅2766⋅445⋅13
Cancel the common factor.
5⋅2766⋅445⋅13
Rewrite the expression.
2766⋅4413
2766⋅4413
Cancel the common factor of 22.
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Factor 22 out of 66.
2722(3)⋅4413
Factor 22 out of 44.
2722⋅3⋅22⋅213
Cancel the common factor.
2722⋅3⋅22⋅213
Rewrite the expression.
273⋅213
273⋅213
Multiply 273 and 213.
27⋅23⋅13
Multiply.
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Multiply 27 by 2.
543⋅13
Multiply 3 by 13.
5439
5439
Cancel the common factor of 54 and 39.
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Factor 3 out of 54.
3(18)39
Cancel the common factors.
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Factor 3 out of 39.
3⋅183⋅13
Cancel the common factor.
3⋅183⋅13
Rewrite the expression.
1813
1813
1813
The result can be shown in multiple forms.
Exact Form:
1813
Decimal Form:
1.384615‾
Mixed Number Form:
1513
Evaluate (67/33+1/66)/(65/44)

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