Combine 8 7/49+4 5/55

Math
8749+4555
Convert 8749 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
8+749+4555
Add 8 and 749.
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To write 8 as a fraction with a common denominator, multiply by 4949.
8⋅4949+749+4555
Combine 8 and 4949.
8⋅4949+749+4555
Combine the numerators over the common denominator.
8⋅49+749+4555
Simplify the numerator.
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Multiply 8 by 49.
392+749+4555
Add 392 and 7.
39949+4555
39949+4555
39949+4555
39949+4555
Convert 4555 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
39949+4+555
Add 4 and 555.
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To write 4 as a fraction with a common denominator, multiply by 5555.
39949+4⋅5555+555
Combine 4 and 5555.
39949+4⋅5555+555
Combine the numerators over the common denominator.
39949+4⋅55+555
Simplify the numerator.
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Multiply 4 by 55.
39949+220+555
Add 220 and 5.
39949+22555
39949+22555
39949+22555
39949+22555
Simplify each term.
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Cancel the common factor of 399 and 49.
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Factor 7 out of 399.
7(57)49+22555
Cancel the common factors.
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Factor 7 out of 49.
7⋅577⋅7+22555
Cancel the common factor.
7⋅577⋅7+22555
Rewrite the expression.
577+22555
577+22555
577+22555
Cancel the common factor of 225 and 55.
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Factor 5 out of 225.
577+5(45)55
Cancel the common factors.
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Factor 5 out of 55.
577+5⋅455⋅11
Cancel the common factor.
577+5⋅455⋅11
Rewrite the expression.
577+4511
577+4511
577+4511
577+4511
To write 577 as a fraction with a common denominator, multiply by 1111.
577⋅1111+4511
To write 4511 as a fraction with a common denominator, multiply by 77.
577⋅1111+4511⋅77
Write each expression with a common denominator of 77, by multiplying each by an appropriate factor of 1.
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Multiply 577 and 1111.
57⋅117⋅11+4511⋅77
Multiply 7 by 11.
57⋅1177+4511⋅77
Multiply 4511 and 77.
57⋅1177+45⋅711⋅7
Multiply 11 by 7.
57⋅1177+45⋅777
57⋅1177+45⋅777
Combine the numerators over the common denominator.
57⋅11+45⋅777
Simplify the numerator.
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Multiply 57 by 11.
627+45⋅777
Multiply 45 by 7.
627+31577
Add 627 and 315.
94277
94277
Combine 8 7/49+4 5/55

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