Basic Math Examples

$y = \frac{1}{3} \cdot (1) + 3$

Step 1

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

$y = \frac{1}{3} \cdot 1 + 3$

Step 2

Simplify $\frac{1}{3} \cdot 1 + 3$ .

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Step 2.1

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

$y = \frac{1}{3} + 3$

Step 2.2

To write $3$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = \frac{1}{3} + 3 \cdot \frac{3}{3}$

Step 2.3

Combine $3$ and $\frac{3}{3}$ .

$y = \frac{1}{3} + \frac{3 \cdot 3}{3}$

Step 2.4

Combine the numerators over the common denominator.

$y = \frac{1 + 3 \cdot 3}{3}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $3$ by $3$ .

$y = \frac{1 + 9}{3}$

Step 2.5.2

Add $1$ and $9$ .

$y = \frac{10}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = \frac{10}{3}$

Decimal Form:

$y = 3.\overline{3}$

Mixed Number Form:

$y = 3 \frac{1}{3}$