Evaluate (5/3+1/6)÷(3/8)*4/9

Math
(53+16)÷38⋅49
Simplify the numerator.
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To write 53 as a fraction with a common denominator, multiply by 22.
53⋅22+1638⋅49
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
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Multiply 53 and 22.
5⋅23⋅2+1638⋅49
Multiply 3 by 2.
5⋅26+1638⋅49
5⋅26+1638⋅49
Combine the numerators over the common denominator.
5⋅2+1638⋅49
Simplify the numerator.
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Multiply 5 by 2.
10+1638⋅49
Add 10 and 1.
11638⋅49
11638⋅49
11638⋅49
Multiply the numerator by the reciprocal of the denominator.
116⋅83⋅49
Cancel the common factor of 2.
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Factor 2 out of 6.
112(3)⋅83⋅49
Factor 2 out of 8.
112⋅3⋅2⋅43⋅49
Cancel the common factor.
112⋅3⋅2⋅43⋅49
Rewrite the expression.
113⋅43⋅49
113⋅43⋅49
Multiply 113 and 43.
11⋅43⋅3⋅49
Multiply.
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Multiply 11 by 4.
443⋅3⋅49
Multiply 3 by 3.
449⋅49
449⋅49
Multiply 449⋅49.
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Multiply 449 and 49.
44⋅49⋅9
Multiply 44 by 4.
1769⋅9
Multiply 9 by 9.
17681
17681
The result can be shown in multiple forms.
Exact Form:
17681
Decimal Form:
2.17283950…
Mixed Number Form:
21481
Evaluate (5/3+1/6)÷(3/8)*4/9

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