# Evaluate 5/6+(5/9)÷(2/3)+1/9

56+59÷23+19
Simplify each term.
To divide by a fraction, multiply by its reciprocal.
56+59⋅32+19
Cancel the common factor of 3.
Factor 3 out of 9.
56+53(3)⋅32+19
Cancel the common factor.
56+53⋅3⋅32+19
Rewrite the expression.
56+53⋅12+19
56+53⋅12+19
Multiply 53 and 12.
56+53⋅2+19
Multiply 3 by 2.
56+56+19
56+56+19
Simplify terms.
Combine fractions with similar denominators.
5+56+19
106+19
Cancel the common factor of 10 and 6.
Factor 2 out of 10.
2(5)6+19
Cancel the common factors.
Factor 2 out of 6.
2⋅52⋅3+19
Cancel the common factor.
2⋅52⋅3+19
Rewrite the expression.
53+19
53+19
53+19
53+19
To write 53 as a fraction with a common denominator, multiply by 33.
53⋅33+19
Write each expression with a common denominator of 9, by multiplying each by an appropriate factor of 1.
Multiply 53 and 33.
5⋅33⋅3+19
Multiply 3 by 3.
5⋅39+19
5⋅39+19
Combine the numerators over the common denominator.
5⋅3+19
Simplify the numerator.
Multiply 5 by 3.
15+19
169
169
The result can be shown in multiple forms.
Exact Form:
169
Decimal Form:
1.7‾
Mixed Number Form:
179
Evaluate 5/6+(5/9)÷(2/3)+1/9

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