Solve for c c-8 1/5=10 3/10

Math
c-815=10310
Convert 815 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
c-(8+15)=10310
Add 8 and 15.
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To write 8 as a fraction with a common denominator, multiply by 55.
c-(8⋅55+15)=10310
Combine 8 and 55.
c-(8⋅55+15)=10310
Combine the numerators over the common denominator.
c-8⋅5+15=10310
Simplify the numerator.
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Multiply 8 by 5.
c-40+15=10310
Add 40 and 1.
c-415=10310
c-415=10310
c-415=10310
c-415=10310
Convert 10310 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
c-415=10+310
Add 10 and 310.
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To write 10 as a fraction with a common denominator, multiply by 1010.
c-415=10⋅1010+310
Combine 10 and 1010.
c-415=10⋅1010+310
Combine the numerators over the common denominator.
c-415=10⋅10+310
Simplify the numerator.
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Multiply 10 by 10.
c-415=100+310
Add 100 and 3.
c-415=10310
c-415=10310
c-415=10310
c-415=10310
Move all terms not containing c to the right side of the equation.
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Add 415 to both sides of the equation.
c=10310+415
To write 415 as a fraction with a common denominator, multiply by 22.
c=10310+415⋅22
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
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Multiply 415 and 22.
c=10310+41⋅25⋅2
Multiply 5 by 2.
c=10310+41⋅210
c=10310+41⋅210
Combine the numerators over the common denominator.
c=103+41⋅210
Simplify the numerator.
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Multiply 41 by 2.
c=103+8210
Add 103 and 82.
c=18510
c=18510
Cancel the common factor of 185 and 10.
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Factor 5 out of 185.
c=5(37)10
Cancel the common factors.
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Factor 5 out of 10.
c=5⋅375⋅2
Cancel the common factor.
c=5⋅375⋅2
Rewrite the expression.
c=372
c=372
c=372
c=372
The result can be shown in multiple forms.
Exact Form:
c=372
Decimal Form:
c=18.5
Mixed Number Form:
c=1812
Solve for c c-8 1/5=10 3/10

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