Basic Math Examples

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

Step 1

Simplify the right side.

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Step 1.1

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

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Step 1.1.1

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

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

Step 1.1.2

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

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Step 1.1.2.1

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

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

Step 1.1.2.2

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

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

Step 1.1.2.3

Combine the numerators over the common denominator.

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

Step 1.1.2.4

Simplify the numerator.

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Step 1.1.2.4.1

Multiply $5$ by $5$ .

$3 p = \frac{25 + 1}{5}$

Step 1.1.2.4.2

Add $25$ and $1$ .

$3 p = \frac{26}{5}$

Step 2

Divide each term in $3 p = \frac{26}{5}$ by $3$ and simplify.

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Step 2.1

Divide each term in $3 p = \frac{26}{5}$ by $3$ .

$\frac{3 p}{3} = \frac{\frac{26}{5}}{3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $3$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{3 p}{3} = \frac{\frac{26}{5}}{3}$

Step 2.2.1.2

Divide $p$ by $1$ .

$p = \frac{\frac{26}{5}}{3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$p = \frac{26}{5} \cdot \frac{1}{3}$

Step 2.3.2

Multiply $\frac{26}{5} \cdot \frac{1}{3}$ .

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Step 2.3.2.1

Multiply $\frac{26}{5}$ by $\frac{1}{3}$ .

$p = \frac{26}{5 \cdot 3}$

Step 2.3.2.2

Multiply $5$ by $3$ .

$p = \frac{26}{15}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$p = \frac{26}{15}$

Decimal Form:

$p = 1.7\overline{3}$

Mixed Number Form:

$p = 1 \frac{11}{15}$