212÷p=3

Convert 212 to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

2+12p=3

Add 2 and 12.

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.

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

Multiply each term by p and simplify.

Multiply each term in 52p=3 by p.

52p⋅p=3⋅p

Cancel the common factor of p.

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.

Divide each term in 3p=52 by 3.

3p3=52⋅13

Cancel the common factor of 3.

Cancel the common factor.

3p3=52⋅13

Divide p by 1.

p=52⋅13

p=52⋅13

Multiply 52⋅13.

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