Basic Math Examples

$\frac{\frac{2}{4} + \frac{5}{2} - 3}{\frac{2}{4} - \frac{5}{2} + 2}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{5}{2}$ by $\frac{2}{2}$ .

$\frac{\frac{2}{4} + \frac{5}{2} - 3}{\frac{2}{4} - (\frac{5}{2} \cdot \frac{2}{2}) + 2}$

Step 1.2

Multiply $\frac{5}{2}$ by $\frac{2}{2}$ .

$\frac{\frac{2}{4} + \frac{5}{2} - 3}{\frac{2}{4} - \frac{5 \cdot 2}{2 \cdot 2} + 2}$

Step 1.3

Write $2$ as a fraction with denominator $1$ .

$\frac{\frac{2}{4} + \frac{5}{2} - 3}{\frac{2}{4} - \frac{5 \cdot 2}{2 \cdot 2} + \frac{2}{1}}$

Step 1.4

Multiply $\frac{2}{1}$ by $\frac{4}{4}$ .

$\frac{\frac{2}{4} + \frac{5}{2} - 3}{\frac{2}{4} - \frac{5 \cdot 2}{2 \cdot 2} + \frac{2}{1} \cdot \frac{4}{4}}$

Step 1.5

Multiply $\frac{2}{1}$ by $\frac{4}{4}$ .

$\frac{\frac{2}{4} + \frac{5}{2} - 3}{\frac{2}{4} - \frac{5 \cdot 2}{2 \cdot 2} + \frac{2 \cdot 4}{4}}$

Step 1.6

Multiply $2$ by $2$ .

$\frac{\frac{2}{4} + \frac{5}{2} - 3}{\frac{2}{4} - \frac{5 \cdot 2}{4} + \frac{2 \cdot 4}{4}}$

Step 2

Combine the numerators over the common denominator.

$\frac{\frac{2}{4} + \frac{5}{2} - 3}{\frac{2 - 5 \cdot 2 + 2 \cdot 4}{4}}$

Step 3

Simplify each term.

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Step 3.1

Multiply $- 5$ by $2$ .

$\frac{\frac{2}{4} + \frac{5}{2} - 3}{\frac{2 - 10 + 2 \cdot 4}{4}}$

Step 3.2

Multiply $2$ by $4$ .

$\frac{\frac{2}{4} + \frac{5}{2} - 3}{\frac{2 - 10 + 8}{4}}$

Step 4

Simplify the expression.

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Step 4.1

Subtract $10$ from $2$ .

$\frac{\frac{2}{4} + \frac{5}{2} - 3}{\frac{- 8 + 8}{4}}$

Step 4.2

Add $- 8$ and $8$ .

$\frac{\frac{2}{4} + \frac{5}{2} - 3}{\frac{0}{4}}$

Step 4.3

Divide $0$ by $4$ .

$\frac{\frac{2}{4} + \frac{5}{2} - 3}{0}$

Step 4.4

The expression contains a division by $0$ . The expression is undefined.

Undefined

$\frac{\frac{2}{4} + \frac{5}{2} - 3}{0}$

Step 5

The expression contains a division by $0$ . The expression is undefined.

Undefined