Solve for c 3/7c=2 1/2

Math
37c=212
Combine 37 and c.
3c7=212
Convert 212 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
3c7=2+12
Add 2 and 12.
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To write 2 as a fraction with a common denominator, multiply by 22.
3c7=2⋅22+12
Combine 2 and 22.
3c7=2⋅22+12
Combine the numerators over the common denominator.
3c7=2⋅2+12
Simplify the numerator.
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Multiply 2 by 2.
3c7=4+12
Add 4 and 1.
3c7=52
3c7=52
3c7=52
3c7=52
Multiply both sides of the equation by 73.
73⋅3c7=73⋅52
Simplify both sides of the equation.
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Simplify 73⋅3c7.
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Cancel the common factor of 7.
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Cancel the common factor.
73⋅3c7=73⋅52
Rewrite the expression.
13⋅(3c)=73⋅52
13⋅(3c)=73⋅52
Cancel the common factor of 3.
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Factor 3 out of 3c.
13⋅(3(c))=73⋅52
Cancel the common factor.
13⋅(3c)=73⋅52
Rewrite the expression.
c=73⋅52
c=73⋅52
c=73⋅52
Multiply 73⋅52.
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Multiply 73 and 52.
c=7⋅53⋅2
Multiply 7 by 5.
c=353⋅2
Multiply 3 by 2.
c=356
c=356
c=356
The result can be shown in multiple forms.
Exact Form:
c=356
Decimal Form:
c=5.83‾
Mixed Number Form:
c=556
Solve for c 3/7c=2 1/2

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