Evaluate 7 6/10-3 2/3

Math
7610-323
Convert 7610 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
7+610-323
Add 7 and 610.
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To write 7 as a fraction with a common denominator, multiply by 1010.
7⋅1010+610-323
Combine 7 and 1010.
7⋅1010+610-323
Combine the numerators over the common denominator.
7⋅10+610-323
Simplify the numerator.
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Multiply 7 by 10.
70+610-323
Add 70 and 6.
7610-323
7610-323
7610-323
7610-323
Convert 323 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
7610-(3+23)
Add 3 and 23.
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To write 3 as a fraction with a common denominator, multiply by 33.
7610-(3⋅33+23)
Combine 3 and 33.
7610-(3⋅33+23)
Combine the numerators over the common denominator.
7610-3⋅3+23
Simplify the numerator.
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Multiply 3 by 3.
7610-9+23
Add 9 and 2.
7610-113
7610-113
7610-113
7610-113
Cancel the common factor of 76 and 10.
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Factor 2 out of 76.
2(38)10-113
Cancel the common factors.
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Factor 2 out of 10.
2⋅382⋅5-113
Cancel the common factor.
2⋅382⋅5-113
Rewrite the expression.
385-113
385-113
385-113
To write 385 as a fraction with a common denominator, multiply by 33.
385⋅33-113
To write -113 as a fraction with a common denominator, multiply by 55.
385⋅33-113⋅55
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
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Multiply 385 and 33.
38⋅35⋅3-113⋅55
Multiply 5 by 3.
38⋅315-113⋅55
Multiply 113 and 55.
38⋅315-11⋅53⋅5
Multiply 3 by 5.
38⋅315-11⋅515
38⋅315-11⋅515
Combine the numerators over the common denominator.
38⋅3-11⋅515
Simplify the numerator.
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Multiply 38 by 3.
114-11⋅515
Multiply -11 by 5.
114-5515
Subtract 55 from 114.
5915
5915
The result can be shown in multiple forms.
Exact Form:
5915
Decimal Form:
3.93‾
Mixed Number Form:
31415
Evaluate 7 6/10-3 2/3

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