Understanding Fractions and Decimals on Number Lines
Number lines help us see where fractions and decimals belong!
A number line is like a ruler that shows numbers in order. We can place fractions and their decimal equivalents on the same line to see how they relate to each other and to whole numbers.
How to Graph Fractions as Decimals
1️⃣ Convert the fraction to a decimal (divide numerator by denominator)
2️⃣ Find the correct position between whole numbers
3️⃣ Mark the spot with a point or label
Let's Practice Together!
Example 1: Graph 3/4 on the number line
First, let's convert 3/4 to a decimal: 3 ÷ 4 = 0.75
Now let's find 0.75 between 0 and 1:
Now you try! Where would 1/2 be on this number line?
Remember: 1/2 = as a decimal
Example 2: Graph 2 1/5 on the number line
First, convert 1/5 to a decimal: 1 ÷ 5 = 0.2
Then add the whole number: 2 + 0.2 = 2.2
Now let's find 2.2 between 2 and 3:
Your turn! Where would 2 3/4 be on this number line?
First convert 3/4 to a decimal:
Then add to 2: 2 + =
Parent Tips 🌟
- Kitchen Math: When measuring ingredients, show how fractions like 1/2 cup (0.5) and 1/4 cup (0.25) relate to decimals on a measuring cup.
- Number Line Art: Create a giant number line on the sidewalk with chalk and have your child jump to different fractions and their decimal equivalents.
- Daily Practice: When looking at prices ($3.25) or measurements (1.5 meters), ask your child to express them as fractions (3¼ dollars, 1½ meters).