Pre-Algebra Examples

$10.1$

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.

$10 \frac{1}{10}$

Step 2

Convert $10 \frac{1}{10}$ to an improper fraction.

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Step 2.1

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

$10 + \frac{1}{10}$

Step 2.2

Add $10$ and $\frac{1}{10}$ .

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Step 2.2.1

To write $10$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$10 \cdot \frac{10}{10} + \frac{1}{10}$

Step 2.2.2

Combine $10$ and $\frac{10}{10}$ .

$\frac{10 \cdot 10}{10} + \frac{1}{10}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{10 \cdot 10 + 1}{10}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $10$ by $10$ .

$\frac{100 + 1}{10}$

Step 2.2.4.2

Add $100$ and $1$ .

$\frac{101}{10}$