Basic Math Examples

$\frac{17}{3} + \frac{29}{6}$

Step 1

To write $\frac{17}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{17}{3} \cdot \frac{2}{2} + \frac{29}{6}$

Step 2

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{17}{3}$ by $\frac{2}{2}$ .

$\frac{17 \cdot 2}{3 \cdot 2} + \frac{29}{6}$

Step 2.2

Multiply $3$ by $2$ .

$\frac{17 \cdot 2}{6} + \frac{29}{6}$

Step 3

Combine the numerators over the common denominator.

$\frac{17 \cdot 2 + 29}{6}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $17$ by $2$ .

$\frac{34 + 29}{6}$

Step 4.2

Add $34$ and $29$ .

$\frac{63}{6}$

Step 5

Cancel the common factor of $63$ and $6$ .

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Step 5.1

Factor $3$ out of $63$ .

$\frac{3 (21)}{6}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $3$ out of $6$ .

$\frac{3 \cdot 21}{3 \cdot 2}$

Step 5.2.2

Cancel the common factor.

$\frac{3 \cdot 21}{3 \cdot 2}$

Step 5.2.3

Rewrite the expression.

$\frac{21}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{2}$

Decimal Form:

$10.5$

Mixed Number Form:

$10 \frac{1}{2}$