Basic Math Examples

$\frac{a}{77} \div \frac{a}{49}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{a}{77} \cdot \frac{49}{a}$

Step 2

Cancel the common factor of $a$ .

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Step 2.1

Cancel the common factor.

$\frac{a}{77} \cdot \frac{49}{a}$

Step 2.2

Rewrite the expression.

$\frac{1}{77} \cdot 49$

$\frac{1}{77} \cdot 49$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Factor $7$ out of $77$ .

$\frac{1}{7 (11)} \cdot 49$

Step 3.2

Factor $7$ out of $49$ .

$\frac{1}{7 \cdot 11} \cdot (7 \cdot 7)$

Step 3.3

Cancel the common factor.

$\frac{1}{7 \cdot 11} \cdot (7 \cdot 7)$

Step 3.4

Rewrite the expression.

$\frac{1}{11} \cdot 7$

$\frac{1}{11} \cdot 7$

Step 4

Combine $\frac{1}{11}$ and $7$ .

$\frac{7}{11}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{11}$

Decimal Form:

$0.\overline{63}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$