Solve for p 4 1/5=3p

$4 \frac{1}{5} = 3 p$

Simplify the left side.

Convert $4 \frac{1}{5}$ to an improper fraction.

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

$4 + \frac{1}{5} = 3 p$

Add $4$ and $\frac{1}{5}$ .

To write $4$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$4 \cdot \frac{5}{5} + \frac{1}{5} = 3 p$

Combine $4$ and $\frac{5}{5}$ .

$\frac{4 \cdot 5}{5} + \frac{1}{5} = 3 p$

Combine the numerators over the common denominator.

$\frac{4 \cdot 5 + 1}{5} = 3 p$

Simplify the numerator.

Multiply $4$ by $5$ .

$\frac{20 + 1}{5} = 3 p$

Add $20$ and $1$ .

$\frac{21}{5} = 3 p$

Rewrite the equation as $3 p = \frac{21}{5}$ .

$3 p = \frac{21}{5}$

Divide each term in $3 p = \frac{21}{5}$ by $3$ and simplify.

Divide each term in $3 p = \frac{21}{5}$ by $3$ .

$\frac{3 p}{3} = \frac{\frac{21}{5}}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 p}{3} = \frac{\frac{21}{5}}{3}$

Divide $p$ by $1$ .

$p = \frac{\frac{21}{5}}{3}$

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

$p = \frac{21}{5} \cdot \frac{1}{3}$

Cancel the common factor of $3$ .

Factor $3$ out of $21$ .

$p = \frac{3 (7)}{5} \cdot \frac{1}{3}$

Cancel the common factor.

$p = \frac{3 \cdot 7}{5} \cdot \frac{1}{3}$

Rewrite the expression.

$p = \frac{7}{5}$

The result can be shown in multiple forms.

Exact Form:

$p = \frac{7}{5}$

Decimal Form:

$p = 1.4$

Mixed Number Form:

$p = 1 \frac{2}{5}$