Simplificar 2/3+1 4/7+5 1/2-1/3

Math
23+147+512-13
Convert 147 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
23+1+47+512-13
Add 1 and 47.
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Write 1 as a fraction with a common denominator.
23+77+47+512-13
Combine the numerators over the common denominator.
23+7+47+512-13
Add 7 and 4.
23+117+512-13
23+117+512-13
23+117+512-13
Convert 512 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
23+117+5+12-13
Add 5 and 12.
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To write 5 as a fraction with a common denominator, multiply by 22.
23+117+5⋅22+12-13
Combine 5 and 22.
23+117+5⋅22+12-13
Combine the numerators over the common denominator.
23+117+5⋅2+12-13
Simplify the numerator.
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Multiply 5 by 2.
23+117+10+12-13
Add 10 and 1.
23+117+112-13
23+117+112-13
23+117+112-13
23+117+112-13
Combine fractions with similar denominators.
2-13+117+112
Subtract 1 from 2.
13+117+112
Find the common denominator.
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Multiply 13 by 1414.
13⋅1414+117+112
Combine.
1⋅143⋅14+117+112
Multiply 117 by 66.
1⋅143⋅14+117⋅66+112
Combine.
1⋅143⋅14+11⋅67⋅6+112
Multiply 112 by 2121.
1⋅143⋅14+11⋅67⋅6+112⋅2121
Combine.
1⋅143⋅14+11⋅67⋅6+11⋅212⋅21
Multiply 3 by 14.
1⋅1442+11⋅67⋅6+11⋅212⋅21
Reorder the factors of 7⋅6.
1⋅1442+11⋅66⋅7+11⋅212⋅21
Multiply 6 by 7.
1⋅1442+11⋅642+11⋅212⋅21
Multiply 2 by 21.
1⋅1442+11⋅642+11⋅2142
1⋅1442+11⋅642+11⋅2142
Combine fractions.
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Combine fractions with similar denominators.
1⋅14+11⋅6+11⋅2142
Multiply.
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Multiply 14 by 1.
14+11⋅6+11⋅2142
Multiply 11 by 6.
14+66+11⋅2142
Multiply 11 by 21.
14+66+23142
14+66+23142
14+66+23142
Simplify the numerator.
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Add 14 and 66.
80+23142
Add 80 and 231.
31142
31142
The result can be shown in multiple forms.
Exact Form:
31142
Decimal Form:
7.40476190…
Mixed Number Form:
71742
Simplificar 2/3+1 4/7+5 1/2-1/3

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