Add 6 1/3+4 3/4+3 7/12

Math
613+434+3712
Convert 613 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
6+13+434+3712
Add 6 and 13.
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To write 6 as a fraction with a common denominator, multiply by 33.
6⋅33+13+434+3712
Combine 6 and 33.
6⋅33+13+434+3712
Combine the numerators over the common denominator.
6⋅3+13+434+3712
Simplify the numerator.
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Multiply 6 by 3.
18+13+434+3712
Add 18 and 1.
193+434+3712
193+434+3712
193+434+3712
193+434+3712
Convert 434 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
193+4+34+3712
Add 4 and 34.
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To write 4 as a fraction with a common denominator, multiply by 44.
193+4⋅44+34+3712
Combine 4 and 44.
193+4⋅44+34+3712
Combine the numerators over the common denominator.
193+4⋅4+34+3712
Simplify the numerator.
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Multiply 4 by 4.
193+16+34+3712
Add 16 and 3.
193+194+3712
193+194+3712
193+194+3712
193+194+3712
Convert 3712 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
193+194+3+712
Add 3 and 712.
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To write 3 as a fraction with a common denominator, multiply by 1212.
193+194+3⋅1212+712
Combine 3 and 1212.
193+194+3⋅1212+712
Combine the numerators over the common denominator.
193+194+3⋅12+712
Simplify the numerator.
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Multiply 3 by 12.
193+194+36+712
Add 36 and 7.
193+194+4312
193+194+4312
193+194+4312
193+194+4312
Find the common denominator.
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Multiply 193 by 44.
193⋅44+194+4312
Combine.
19⋅43⋅4+194+4312
Multiply 194 by 33.
19⋅43⋅4+194⋅33+4312
Combine.
19⋅43⋅4+19⋅34⋅3+4312
Multiply 3 by 4.
19⋅412+19⋅34⋅3+4312
Reorder the factors of 4⋅3.
19⋅412+19⋅33⋅4+4312
Multiply 3 by 4.
19⋅412+19⋅312+4312
19⋅412+19⋅312+4312
Combine fractions.
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Combine fractions with similar denominators.
19⋅4+19⋅3+4312
Multiply.
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Multiply 19 by 4.
76+19⋅3+4312
Multiply 19 by 3.
76+57+4312
76+57+4312
76+57+4312
Simplify the numerator.
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Add 76 and 57.
133+4312
Add 133 and 43.
17612
17612
Cancel the common factor of 176 and 12.
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Factor 4 out of 176.
4(44)12
Cancel the common factors.
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Factor 4 out of 12.
4⋅444⋅3
Cancel the common factor.
4⋅444⋅3
Rewrite the expression.
443
443
443
The result can be shown in multiple forms.
Exact Form:
443
Decimal Form:
14.6‾
Mixed Number Form:
1423
Add 6 1/3+4 3/4+3 7/12

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