Simplificar (3 1/6-2 1/4)/2 1/3

Math
316-214213
Convert 316 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
3+16-214213
Add 3 and 16.
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To write 3 as a fraction with a common denominator, multiply by 66.
3⋅66+16-214213
Combine 3 and 66.
3⋅66+16-214213
Combine the numerators over the common denominator.
3⋅6+16-214213
Simplify the numerator.
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Multiply 3 by 6.
18+16-214213
Add 18 and 1.
196-214213
196-214213
196-214213
196-214213
Convert 214 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
196-(2+14)213
Add 2 and 14.
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To write 2 as a fraction with a common denominator, multiply by 44.
196-(2⋅44+14)213
Combine 2 and 44.
196-(2⋅44+14)213
Combine the numerators over the common denominator.
196-2⋅4+14213
Simplify the numerator.
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Multiply 2 by 4.
196-8+14213
Add 8 and 1.
196-94213
196-94213
196-94213
196-94213
Convert 213 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
196-942+13
Add 2 and 13.
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To write 2 as a fraction with a common denominator, multiply by 33.
196-942⋅33+13
Combine 2 and 33.
196-942⋅33+13
Combine the numerators over the common denominator.
196-942⋅3+13
Simplify the numerator.
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Multiply 2 by 3.
196-946+13
Add 6 and 1.
196-9473
196-9473
196-9473
196-9473
Multiply the numerator by the reciprocal of the denominator.
(196-94)37
To write 196 as a fraction with a common denominator, multiply by 22.
(196⋅22-94)37
To write -94 as a fraction with a common denominator, multiply by 33.
(196⋅22-94⋅33)37
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
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Multiply 196 and 22.
(19⋅26⋅2-94⋅33)37
Multiply 6 by 2.
(19⋅212-94⋅33)37
Multiply 94 and 33.
(19⋅212-9⋅34⋅3)37
Multiply 4 by 3.
(19⋅212-9⋅312)37
(19⋅212-9⋅312)37
Combine the numerators over the common denominator.
19⋅2-9⋅312⋅37
Simplify the numerator.
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Multiply 19 by 2.
38-9⋅312⋅37
Multiply -9 by 3.
38-2712⋅37
Subtract 27 from 38.
1112⋅37
1112⋅37
Cancel the common factor of 3.
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Factor 3 out of 12.
113(4)⋅37
Cancel the common factor.
113⋅4⋅37
Rewrite the expression.
114⋅17
114⋅17
Multiply 114 and 17.
114⋅7
Multiply 4 by 7.
1128
The result can be shown in multiple forms.
Exact Form:
1128
Decimal Form:
0.39285714…
Simplificar (3 1/6-2 1/4)/2 1/3

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