# Evaluate (1/3)/(6/7+2/9)

1367+29
Multiply the numerator by the reciprocal of the denominator.
13⋅167+29
Simplify the denominator.
To write 67 as a fraction with a common denominator, multiply by 99.
13⋅167⋅99+29
To write 29 as a fraction with a common denominator, multiply by 77.
13⋅167⋅99+29⋅77
Write each expression with a common denominator of 63, by multiplying each by an appropriate factor of 1.
Multiply 67 and 99.
13⋅16⋅97⋅9+29⋅77
Multiply 7 by 9.
13⋅16⋅963+29⋅77
Multiply 29 and 77.
13⋅16⋅963+2⋅79⋅7
Multiply 9 by 7.
13⋅16⋅963+2⋅763
13⋅16⋅963+2⋅763
Combine the numerators over the common denominator.
13⋅16⋅9+2⋅763
Simplify the numerator.
Multiply 6 by 9.
13⋅154+2⋅763
Multiply 2 by 7.
13⋅154+1463
Add 54 and 14.
13⋅16863
13⋅16863
13⋅16863
Multiply the numerator by the reciprocal of the denominator.
13(1(6368))
Multiply 6368 by 1.
13⋅6368
Cancel the common factor of 3.
Factor 3 out of 63.
13⋅3(21)68
Cancel the common factor.
13⋅3⋅2168
Rewrite the expression.
2168
2168
The result can be shown in multiple forms.
Exact Form:
2168
Decimal Form:
0.30882352…
Evaluate (1/3)/(6/7+2/9)

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