Pre-Algebra Examples

$8.3$

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.

$8 \frac{3}{10}$

Step 2

Convert $8 \frac{3}{10}$ to an improper fraction.

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Step 2.1

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

$8 + \frac{3}{10}$

Step 2.2

Add $8$ and $\frac{3}{10}$ .

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Step 2.2.1

To write $8$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$8 \cdot \frac{10}{10} + \frac{3}{10}$

Step 2.2.2

Combine $8$ and $\frac{10}{10}$ .

$\frac{8 \cdot 10}{10} + \frac{3}{10}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{8 \cdot 10 + 3}{10}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $8$ by $10$ .

$\frac{80 + 3}{10}$

Step 2.2.4.2

Add $80$ and $3$ .

$\frac{83}{10}$