Lesson 74: Writing Fractions as Decimal Numbers

Definition

To convert a fraction to a decimal number, we divide the numerator by the denominator.

What’s next

Next, you will apply this process through worked examples. You'll convert simple fractions, mixed numbers, and even probability ratios into their decimal equivalents.

Contextual Explanation

A fraction bar is just a sneaky way of writing a division symbol! To convert any fraction into a decimal, all you have to do is perform the division it represents: divide the numerator (the top number) by the denominator (the bottom number). It’s like revealing the fraction's secret identity!

Full Example

Problem: Convert the fraction $\frac{3}{4}$ to a decimal number.

Step 1: Set up the division problem. The fraction $\frac{3}{4}$ means $3 \div 4$.

Contextual Explanation

Mixed numbers have two parts: a whole number and a fraction. The whole number is already a champion—it gets to sit to the left of the decimal point without doing any work! Your only job is to convert the small fraction part into a decimal and let it join the whole number.

Full Example

Problem: Write $8\frac{1}{4}$ as a decimal number.

Step 1: Identify the whole number part. For $8\frac{1}{4}$, the whole number is 8. This will be the number to the left of the decimal point.