Basic Math Examples

$\frac{\frac{1}{2}}{\frac{1}{4}} + \frac{\frac{1}{3}}{\frac{1}{6}}$

Step 1

Simplify each term.

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Step 1.1

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{2} \cdot 4 + \frac{\frac{1}{3}}{\frac{1}{6}}$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Factor $2$ out of $4$ .

$\frac{1}{2} \cdot (2 (2)) + \frac{\frac{1}{3}}{\frac{1}{6}}$

Step 1.2.2

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot 2) + \frac{\frac{1}{3}}{\frac{1}{6}}$

Step 1.2.3

Rewrite the expression.

$2 + \frac{\frac{1}{3}}{\frac{1}{6}}$

Step 1.3

Multiply the numerator by the reciprocal of the denominator.

$2 + \frac{1}{3} \cdot 6$

Step 1.4

Cancel the common factor of $3$ .

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Step 1.4.1

Factor $3$ out of $6$ .

$2 + \frac{1}{3} \cdot (3 (2))$

Step 1.4.2

Cancel the common factor.

$2 + \frac{1}{3} \cdot (3 \cdot 2)$

Step 1.4.3

Rewrite the expression.

$2 + 2$

Step 2

Add $2$ and $2$ .

$4$