Simplify (4 1/5-2 2/3)/2 2/3

Math
415-223223
Convert 415 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
4+15-223223
Add 4 and 15.
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To write 4 as a fraction with a common denominator, multiply by 55.
4⋅55+15-223223
Combine 4 and 55.
4⋅55+15-223223
Combine the numerators over the common denominator.
4⋅5+15-223223
Simplify the numerator.
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Multiply 4 by 5.
20+15-223223
Add 20 and 1.
215-223223
215-223223
215-223223
215-223223
Convert 223 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
215-(2+23)223
Add 2 and 23.
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To write 2 as a fraction with a common denominator, multiply by 33.
215-(2⋅33+23)223
Combine 2 and 33.
215-(2⋅33+23)223
Combine the numerators over the common denominator.
215-2⋅3+23223
Simplify the numerator.
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Multiply 2 by 3.
215-6+23223
Add 6 and 2.
215-83223
215-83223
215-83223
215-83223
Convert 223 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
215-832+23
Add 2 and 23.
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To write 2 as a fraction with a common denominator, multiply by 33.
215-832⋅33+23
Combine 2 and 33.
215-832⋅33+23
Combine the numerators over the common denominator.
215-832⋅3+23
Simplify the numerator.
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Multiply 2 by 3.
215-836+23
Add 6 and 2.
215-8383
215-8383
215-8383
215-8383
Multiply the numerator by the reciprocal of the denominator.
(215-83)38
To write 215 as a fraction with a common denominator, multiply by 33.
(215⋅33-83)38
To write -83 as a fraction with a common denominator, multiply by 55.
(215⋅33-83⋅55)38
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
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Multiply 215 and 33.
(21⋅35⋅3-83⋅55)38
Multiply 5 by 3.
(21⋅315-83⋅55)38
Multiply 83 and 55.
(21⋅315-8⋅53⋅5)38
Multiply 3 by 5.
(21⋅315-8⋅515)38
(21⋅315-8⋅515)38
Combine the numerators over the common denominator.
21⋅3-8⋅515⋅38
Simplify the numerator.
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Multiply 21 by 3.
63-8⋅515⋅38
Multiply -8 by 5.
63-4015⋅38
Subtract 40 from 63.
2315⋅38
2315⋅38
Cancel the common factor of 3.
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Factor 3 out of 15.
233(5)⋅38
Cancel the common factor.
233⋅5⋅38
Rewrite the expression.
235⋅18
235⋅18
Multiply 235 and 18.
235⋅8
Multiply 5 by 8.
2340
The result can be shown in multiple forms.
Exact Form:
2340
Decimal Form:
0.575
Simplify (4 1/5-2 2/3)/2 2/3

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