Evaluate 1 7/8+5 5/7+14 1/4

Math
178+557+1414
Convert 178 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
1+78+557+1414
Add 1 and 78.
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Write 1 as a fraction with a common denominator.
88+78+557+1414
Combine the numerators over the common denominator.
8+78+557+1414
Add 8 and 7.
158+557+1414
158+557+1414
158+557+1414
Convert 557 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
158+5+57+1414
Add 5 and 57.
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To write 5 as a fraction with a common denominator, multiply by 77.
158+5⋅77+57+1414
Combine 5 and 77.
158+5⋅77+57+1414
Combine the numerators over the common denominator.
158+5⋅7+57+1414
Simplify the numerator.
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Multiply 5 by 7.
158+35+57+1414
Add 35 and 5.
158+407+1414
158+407+1414
158+407+1414
158+407+1414
Convert 1414 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
158+407+14+14
Add 14 and 14.
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To write 14 as a fraction with a common denominator, multiply by 44.
158+407+14⋅44+14
Combine 14 and 44.
158+407+14⋅44+14
Combine the numerators over the common denominator.
158+407+14⋅4+14
Simplify the numerator.
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Multiply 14 by 4.
158+407+56+14
Add 56 and 1.
158+407+574
158+407+574
158+407+574
158+407+574
Find the common denominator.
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Multiply 158 by 77.
158⋅77+407+574
Combine.
15⋅78⋅7+407+574
Multiply 407 by 88.
15⋅78⋅7+407⋅88+574
Combine.
15⋅78⋅7+40⋅87⋅8+574
Multiply 574 by 1414.
15⋅78⋅7+40⋅87⋅8+574⋅1414
Combine.
15⋅78⋅7+40⋅87⋅8+57⋅144⋅14
Reorder the factors of 8⋅7.
15⋅77⋅8+40⋅87⋅8+57⋅144⋅14
Multiply 7 by 8.
15⋅756+40⋅87⋅8+57⋅144⋅14
Multiply 7 by 8.
15⋅756+40⋅856+57⋅144⋅14
Multiply 4 by 14.
15⋅756+40⋅856+57⋅1456
15⋅756+40⋅856+57⋅1456
Combine fractions.
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Combine fractions with similar denominators.
15⋅7+40⋅8+57⋅1456
Multiply.
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Multiply 15 by 7.
105+40⋅8+57⋅1456
Multiply 40 by 8.
105+320+57⋅1456
Multiply 57 by 14.
105+320+79856
105+320+79856
105+320+79856
Simplify the numerator.
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Add 105 and 320.
425+79856
Add 425 and 798.
122356
122356
The result can be shown in multiple forms.
Exact Form:
122356
Decimal Form:
21.83928571…
Mixed Number Form:
214756
Evaluate 1 7/8+5 5/7+14 1/4

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