Evaluate 8 2/14-5 3/7

Math
8214-537
Convert 8214 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
8+214-537
Add 8 and 214.
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To write 8 as a fraction with a common denominator, multiply by 1414.
8⋅1414+214-537
Combine 8 and 1414.
8⋅1414+214-537
Combine the numerators over the common denominator.
8⋅14+214-537
Simplify the numerator.
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Multiply 8 by 14.
112+214-537
Add 112 and 2.
11414-537
11414-537
11414-537
11414-537
Convert 537 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
11414-(5+37)
Add 5 and 37.
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To write 5 as a fraction with a common denominator, multiply by 77.
11414-(5⋅77+37)
Combine 5 and 77.
11414-(5⋅77+37)
Combine the numerators over the common denominator.
11414-5⋅7+37
Simplify the numerator.
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Multiply 5 by 7.
11414-35+37
Add 35 and 3.
11414-387
11414-387
11414-387
11414-387
Cancel the common factor of 114 and 14.
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Factor 2 out of 114.
2(57)14-387
Cancel the common factors.
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Factor 2 out of 14.
2⋅572⋅7-387
Cancel the common factor.
2⋅572⋅7-387
Rewrite the expression.
577-387
577-387
577-387
Combine the numerators over the common denominator.
57-387
Subtract 38 from 57.
197
The result can be shown in multiple forms.
Exact Form:
197
Decimal Form:
2.714285‾
Mixed Number Form:
257
Evaluate 8 2/14-5 3/7

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