Solve for p 2 1/2÷p=3

Math
212÷p=3
Simplify 212÷p.
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Convert 212 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
2+12p=3
Add 2 and 12.
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To write 2 as a fraction with a common denominator, multiply by 22.
2⋅22+12p=3
Combine 2 and 22.
2⋅22+12p=3
Combine the numerators over the common denominator.
2⋅2+12p=3
Simplify the numerator.
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Multiply 2 by 2.
4+12p=3
Add 4 and 1.
52p=3
52p=3
52p=3
52p=3
Multiply the numerator by the reciprocal of the denominator.
52⋅1p=3
Multiply 52 and 1p.
52p=3
52p=3
Solve for p.
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Multiply each term by p and simplify.
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Multiply each term in 52p=3 by p.
52p⋅p=3⋅p
Cancel the common factor of p.
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Factor p out of 2p.
5p⋅2⋅p=3⋅p
Cancel the common factor.
5p⋅2⋅p=3⋅p
Rewrite the expression.
52=3⋅p
52=3p
52=3p
Rewrite the equation as 3p=52.
3p=52
Divide each term by 3 and simplify.
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Divide each term in 3p=52 by 3.
3p3=52⋅13
Cancel the common factor of 3.
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Cancel the common factor.
3p3=52⋅13
Divide p by 1.
p=52⋅13
p=52⋅13
Multiply 52⋅13.
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Multiply 52 and 13.
p=52⋅3
Multiply 2 by 3.
p=56
p=56
p=56
p=56
Exclude the solutions that do not make 212÷p=3 true.
No solution
Solve for p 2 1/2÷p=3

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