Algebra Examples

$2.5$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is $1$ number to the right of the decimal point, place the decimal number over $10^{1}$ $(10)$ . Next, add the whole number to the left of the decimal.

$2 \frac{5}{10}$

Step 2

Reduce the fractional part of the mixed number.

$2 \frac{1}{2}$

Step 3

Convert $2 \frac{1}{2}$ to an improper fraction.

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Step 3.1

A mixed number is an addition of its whole and fractional parts.

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

Step 3.2

Add $2$ and $\frac{1}{2}$ .

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Step 3.2.1

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

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

Step 3.2.2

Combine $2$ and $\frac{2}{2}$ .

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

Step 3.2.3

Combine the numerators over the common denominator.

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

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply $2$ by $2$ .

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

Step 3.2.4.2

Add $4$ and $1$ .

$\frac{5}{2}$