Evaluate (5 3/5-1 2/15)-(2 2/3+7/15)

Math
(535-1215)-(223+715)
Convert 535 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
5+35-1215-(223+715)
Add 5 and 35.
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To write 5 as a fraction with a common denominator, multiply by 55.
5⋅55+35-1215-(223+715)
Combine 5 and 55.
5⋅55+35-1215-(223+715)
Combine the numerators over the common denominator.
5⋅5+35-1215-(223+715)
Simplify the numerator.
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Multiply 5 by 5.
25+35-1215-(223+715)
Add 25 and 3.
285-1215-(223+715)
285-1215-(223+715)
285-1215-(223+715)
285-1215-(223+715)
Convert 1215 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
285-(1+215)-(223+715)
Add 1 and 215.
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Write 1 as a fraction with a common denominator.
285-(1515+215)-(223+715)
Combine the numerators over the common denominator.
285-15+215-(223+715)
Add 15 and 2.
285-1715-(223+715)
285-1715-(223+715)
285-1715-(223+715)
Convert 223 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
285-1715-(2+23+715)
Add 2 and 23.
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To write 2 as a fraction with a common denominator, multiply by 33.
285-1715-(2⋅33+23+715)
Combine 2 and 33.
285-1715-(2⋅33+23+715)
Combine the numerators over the common denominator.
285-1715-(2⋅3+23+715)
Simplify the numerator.
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Multiply 2 by 3.
285-1715-(6+23+715)
Add 6 and 2.
285-1715-(83+715)
285-1715-(83+715)
285-1715-(83+715)
285-1715-(83+715)
Simplify each term.
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To write 83 as a fraction with a common denominator, multiply by 55.
285-1715-(83⋅55+715)
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
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Multiply 83 and 55.
285-1715-(8⋅53⋅5+715)
Multiply 3 by 5.
285-1715-(8⋅515+715)
285-1715-(8⋅515+715)
Combine the numerators over the common denominator.
285-1715-8⋅5+715
Simplify the numerator.
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Multiply 8 by 5.
285-1715-40+715
Add 40 and 7.
285-1715-4715
285-1715-4715
285-1715-4715
Combine fractions.
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Combine fractions with similar denominators.
285+-17-4715
Simplify the expression.
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Subtract 47 from -17.
285+-6415
Move the negative in front of the fraction.
285-6415
285-6415
285-6415
To write 285 as a fraction with a common denominator, multiply by 33.
285⋅33-6415
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
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Multiply 285 and 33.
28⋅35⋅3-6415
Multiply 5 by 3.
28⋅315-6415
28⋅315-6415
Combine the numerators over the common denominator.
28⋅3-6415
Simplify the numerator.
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Multiply 28 by 3.
84-6415
Subtract 64 from 84.
2015
2015
Cancel the common factor of 20 and 15.
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Factor 5 out of 20.
5(4)15
Cancel the common factors.
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Factor 5 out of 15.
5⋅45⋅3
Cancel the common factor.
5⋅45⋅3
Rewrite the expression.
43
43
43
The result can be shown in multiple forms.
Exact Form:
43
Decimal Form:
1.3‾
Mixed Number Form:
113
Evaluate (5 3/5-1 2/15)-(2 2/3+7/15)

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