Understanding Fractions on Number Lines
Number lines help us see exactly where fractions belong!
A number line is like a ruler that shows numbers in order. When we place fractions on a number line, we
can see how big or small they are compared to other numbers. The space between 0 and 1 is divided into
equal parts based on the denominator (the bottom number of the fraction).
How to Graph Fractions on a Number Line
1️⃣ Divide the space between 0 and 1 into equal parts (based on the denominator)
2️⃣ Count the number of parts from 0 (based on the numerator)
3️⃣ Mark the spot where your fraction belongs
Let's Practice Together!
Example 1: Plotting Fractions
Let's plot \(\frac{3}{4}\) and \(\frac{1}{2}\) on the number line below:
\(\frac{3}{4}\) is larger than \(\frac{1}{2}\) because it's farther to the right on the number line!
When we compare them as decimals: \(\frac{1}{2}\) = 0.5 and \(\frac{3}{4}\) = 0.75
Example 2: Comparing Fractions
Now let's compare \(\frac{2}{3}\) and \(\frac{3}{5}\). First, we need to find a common denominator (15 works for both):
\(\frac{2}{3}\) is larger than \(\frac{3}{5}\)! On our number line, \(\frac{2}{3}\) is about 0.6667 and \(\frac{3}{5}\) is exactly 0.6.
When we convert to common denominator: \(\frac{2}{3}\) = \(\frac{10}{15}\) and \(\frac{3}{5}\) = \(\frac{9}{15}\)
Parent Tips 🌟
- Kitchen fractions: Use measuring cups to show real-world fractions. Ask "Is 3/4 cup more or less than 2/3 cup?"
- Sidewalk chalk number lines: Draw giant number lines outside and have kids jump to different fractions.
- Fraction war: Play a card game where you compare fractions - the larger fraction wins the round!