Adding Fractions with Denominators 10 and 100

Learn to add fractions with denominators 10 and 100 like a math wizard!

Understanding Tenths and Hundredths

Fractions with denominators 10 and 100 are special!
They help us understand decimals and make adding fractions easier when we know the trick. Tenths (denominator 10) and hundredths (denominator 100) are like cousins - they're related because 10 × 10 = 100!

How to Add These Fractions

1️⃣ Find common denominators - Convert tenths to hundredths by multiplying numerator and denominator by 10

2️⃣ Add the numerators - Keep the denominator the same

3️⃣ Simplify if needed - Reduce the fraction to its simplest form

Let's Practice Together!

Example 1: Adding Two Fractions

Solve: \(\frac{3}{10}\) + \(\frac{25}{100}\) = ?

Step 1: Convert \(\frac{3}{10}\) to hundredths → \(\frac{(3×10)}{(10×10)}\) = \(\frac{30}{100}\)
Step 2: Now add \(\frac{30}{100} + \frac{25}{100} = \frac{55}{100}\)
Step 3: Simplify \(\frac{55}{100} ÷ \frac{5}{5} = \frac{11}{20}\)
Answer: \(\frac{11}{20}\) or 0.55

Example 2: Interactive Practice

Add these fractions: /10 + /100 = ?

Parent Tips 🌟

  • Use money to teach fractions - Dimes are tenths of a dollar and pennies are hundredths. Adding 3 dimes (30¢) and 25 pennies (25¢) makes 55¢, just like 3/10 + 25/100 = 55/100!
  • Baking measurements are perfect for practice - 1/10 cup plus 3/100 cup helps kids see real-world applications.
  • Create fraction flashcards with denominators 10 and 100 for quick daily practice sessions.
🌟 You're doing amazing! Keep practicing and soon you'll be adding these fractions faster than a calculator! 🌟

Ready for More Math Fun?

Continue your child's math journey with our interactive lessons and games!

Download iMath App