Compare Fractions Using Benchmarks

Learn to compare fractions by using familiar reference points like 0, ½, and 1!

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.

🌟 You're becoming a fraction expert! Keep practicing with benchmarks and soon you'll be comparing fractions like a pro! 🌟

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