# Evaluate (1/6+4/5)/(2/3) 16+4523
Multiply the numerator by the reciprocal of the denominator.
(16+45)32
To write 16 as a fraction with a common denominator, multiply by 55.
(16⋅55+45)32
To write 45 as a fraction with a common denominator, multiply by 66.
(16⋅55+45⋅66)32
Write each expression with a common denominator of 30, by multiplying each by an appropriate factor of 1.
Multiply 16 and 55.
(56⋅5+45⋅66)32
Multiply 6 by 5.
(530+45⋅66)32
Multiply 45 and 66.
(530+4⋅65⋅6)32
Multiply 5 by 6.
(530+4⋅630)32
(530+4⋅630)32
Combine the numerators over the common denominator.
5+4⋅630⋅32
Simplify the numerator.
Multiply 4 by 6.
5+2430⋅32
2930⋅32
2930⋅32
Cancel the common factor of 3.
Factor 3 out of 30.
293(10)⋅32
Cancel the common factor.
293⋅10⋅32
Rewrite the expression.
2910⋅12
2910⋅12
Multiply 2910 and 12.
2910⋅2
Multiply 10 by 2.
2920
The result can be shown in multiple forms.
Exact Form:
2920
Decimal Form:
1.45
Mixed Number Form:
1920
Evaluate (1/6+4/5)/(2/3)

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