Inequalities with Addition and Subtraction of Fractions

Comparing fractions after adding or subtracting amounts

Understanding Fraction Inequalities

Fractions can be compared just like whole numbers!
When we add or subtract fractions, we can use inequality symbols (<, >, =) to show which value is larger or if they're equal. Remember to find common denominators first to make fair comparisons!

How to Compare Fractions After Adding/Subtracting

1️⃣ Find common denominators for all fractions

2️⃣ Add or subtract the fractions as needed

3️⃣ Compare the results using <, >, or =

Let's Practice Together!

Example 1: Pizza Fractions

Sam has \(\frac{3}{8}\) of a pizza and gets \(\frac{2}{8}\) more. Mia has \(\frac{1}{2}\) of a pizza. Who has more pizza now?

Sam's total: \(\frac{3}{8} + \frac{2}{8} =\) \(\frac{5}{8}\)

Mia's total: \(\frac{1}{2} =\) \(\frac{4}{8}\)

Example 2: Juice Bottles

A bottle had \(\frac{5}{6}\) juice. Someone drank \(\frac{1}{3}\). Another bottle had \(\frac{1}{2}\) juice. Which bottle has more juice now?

First bottle: \(\frac{5}{6} - \frac{1}{3} = \frac{5}{6} - \frac{2}{6} =\) \(\frac{3}{6}\)

Second bottle: \(\frac{1}{2} =\) \(\frac{3}{6}\)

Parent Tips 🌟

  • Use real-life examples: Compare pizza slices, juice amounts, or candy pieces to make the concept tangible.
  • Visual aids help: Draw fraction circles or use measuring cups to show how fractions compare after adding/subtracting.
  • Start simple: Begin with fractions that have the same denominator before moving to more complex problems.

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