Understanding Tenths and Hundredths
Fractions with denominators 10 and 100 are special!
They help us understand decimals and make adding easier when we know the trick. Tenths (\(\frac{1}{10}\)) are bigger pieces than hundredths (\(\frac{1}{100}\)), just like dimes are bigger than pennies!
How to Add These Fractions
1️⃣ Check the denominators - Are they 10 and/or 100?
2️⃣ Make them match - Change tenths to hundredths by multiplying numerator and denominator by 10
3️⃣ Add the numerators - Keep the denominator the same
4️⃣ Simplify - If possible, reduce the fraction
Let's Practice Together!
Example 1: Adding \(\frac{3}{10} + \frac{20}{100}\)
1. Make denominators match: \(\frac{3}{10} = \frac{30}{100}\)
2. Now add: \(\frac{30}{100} + \frac{20}{100} = \frac{50}{100}\)
3. Simplify: \(\frac{50}{100} = \frac{1}{2}\)
Final answer: \(\frac{1}{2}\)
Example 2: Adding \(\frac{1}{10} + \frac{2}{10} + \frac{15}{100}\)
1. Make denominators match: \(\frac{1}{10} = \frac{10}{100}\) and \(\frac{2}{10} = \frac{20}{100}\)
2. Now add: \(\frac{10}{100} + \frac{20}{100} + \frac{15}{100} = \frac{45}{100}\)
3. Simplify: \(\frac{45}{100}\) can't be simplified further
Final answer: \(\frac{45}{100}\)
Parent Tips 🌟
- Money makes it real: Relate tenths to dimes (10 cents) and hundredths to pennies (1 cent) to help your child visualize the amounts.
- Kitchen fractions: When baking, show how 1/10 cup plus 3/10 cup equals 4/10 cup (which simplifies to 2/5 cup).
- Decimal connection: Point out that \(\frac{3}{10} = 0.3\) and \(\frac{25}{100} = 0.25\) to build decimal understanding alongside fractions.