What Are Benchmark Fractions?
Benchmark fractions are special fractions we use as reference points to help compare other fractions.
The most common benchmark fractions are 0, ½, and 1. They help us quickly estimate whether a fraction is closer to 0, halfway between, or almost a whole!
How to Compare Fractions Using Benchmarks
1️⃣ Identify the benchmarks: Find where 0, ½, and 1 are on the number line
2️⃣ Estimate position: Decide if your fraction is closer to 0, ½, or 1
3️⃣ Compare: Use these positions to see which fraction is larger
Let's Practice Together!
Example 1: Pizza Fractions
Which pizza slice is bigger: \(\frac{3}{8}\) or \(\frac{5}{6}\)?
Let's use benchmarks! \(\frac{3}{8}\) is less than ½ (since ½ = \(\frac{4}{8}\)), while \(\frac{5}{6}\) is very close to 1. So \(\frac{5}{6}\) is definitely bigger!
Example 2: Number Line Challenge
Where would these fractions be on our benchmark number line?
Place these fractions: \(\frac{2}{5}\), \(\frac{7}{8}\), \(\frac{3}{6}\)
Here's where they belong:
- \(\frac{2}{5}\) is less than ½ (since ½ = \(\frac{2.5}{5}\))
- \(\frac{3}{6}\) is exactly equal to ½
- \(\frac{7}{8}\) is very close to 1
Parent Tips 🌟
- Use real-world examples: Cut pizzas, pies, or sandwiches to visually show benchmark fractions.
- Play "Fraction War": Use playing cards to make fractions and compare them using benchmarks.
- Number line practice: Draw a simple number line from 0 to 1 and have your child place different fractions on it.