Evaluate 10/1-(5/3+11/4+23/6)

Math
101-(53+114+236)
Simplify each term.
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Divide 10 by 1.
10-(53+114+236)
Find the common denominator.
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Multiply 53 by 44.
10-(53⋅44+114+236)
Combine.
10-(5⋅43⋅4+114+236)
Multiply 114 by 33.
10-(5⋅43⋅4+114⋅33+236)
Combine.
10-(5⋅43⋅4+11⋅34⋅3+236)
Multiply 236 by 22.
10-(5⋅43⋅4+11⋅34⋅3+236⋅22)
Combine.
10-(5⋅43⋅4+11⋅34⋅3+23⋅26⋅2)
Multiply 3 by 4.
10-(5⋅412+11⋅34⋅3+23⋅26⋅2)
Reorder the factors of 4⋅3.
10-(5⋅412+11⋅33⋅4+23⋅26⋅2)
Multiply 3 by 4.
10-(5⋅412+11⋅312+23⋅26⋅2)
Reorder the factors of 6⋅2.
10-(5⋅412+11⋅312+23⋅22⋅6)
Multiply 2 by 6.
10-(5⋅412+11⋅312+23⋅212)
10-(5⋅412+11⋅312+23⋅212)
Combine fractions with similar denominators.
10-5⋅4+11⋅3+23⋅212
Multiply 5 by 4.
10-20+11⋅3+23⋅212
Multiply 11 by 3.
10-20+33+23⋅212
Multiply 23 by 2.
10-20+33+4612
Simplify the numerator.
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Add 20 and 33.
10-53+4612
Add 53 and 46.
10-9912
10-9912
Cancel the common factor of 99 and 12.
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Factor 3 out of 99.
10-3(33)12
Cancel the common factors.
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Factor 3 out of 12.
10-3⋅333⋅4
Cancel the common factor.
10-3⋅333⋅4
Rewrite the expression.
10-334
10-334
10-334
10-334
To write 10 as a fraction with a common denominator, multiply by 44.
10⋅44-334
Combine 10 and 44.
10⋅44-334
Combine the numerators over the common denominator.
10⋅4-334
Simplify the numerator.
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Multiply 10 by 4.
40-334
Subtract 33 from 40.
74
74
The result can be shown in multiple forms.
Exact Form:
74
Decimal Form:
1.75
Mixed Number Form:
134
Evaluate 10/1-(5/3+11/4+23/6)

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