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Converting Fractions ↔ Decimals

With your kind teacher Mrs. Brenda ❀️

Hi my superstar Grade 6 mathematicians! 🌟

Fractions and decimals are just two different ways to write the same number! Today we’ll become experts at switching between them. This skill is super useful for money, sports stats, measurements, and shopping. Let’s get started! πŸ”„

1. Fraction β†’ Decimal (Divide!)

Divide the numerator by the denominator.

3/4 β†’ 3 Γ· 4 = 0.75

5/8 β†’ 5 Γ· 8 = 0.625

2/5 β†’ 2 Γ· 5 = 0.4

2. Decimal β†’ Fraction

Use the place value and simplify.

0.75 = 75 hundredths = 75/100 = 3/4

0.4 = 4 tenths = 4/10 = 2/5

0.625 = 625 thousandths = 625/1000 = 5/8

3. Important Ones to Remember

1/2 = 0.5
1/4 = 0.25
3/4 = 0.75
1/5 = 0.2
2/5 = 0.4
3/5 = 0.6
4/5 = 0.8
1/8 = 0.125
3/8 = 0.375
5/8 = 0.625
7/8 = 0.875

4. Let’s Practice Together! πŸŽ‰

Question 1:

Convert 4/5 to a decimal.

4 ÷ 5 = 0.8 ⭐

Question 2:

Convert 0.35 to a fraction in simplest form.

35/100 = 7/20 ⭐

Question 3:

What is 5/8 as a decimal?

0.625 ⭐

Question 4:

Convert 0.625 to a fraction.

5/8 ⭐

Question 5 (Real Life):

A hockey player scored in 3/4 of the games. Write this as a decimal.

0.75 ⭐

6. Real Life in Canada πŸ‡¨πŸ‡¦

You are a Conversion Expert! πŸ†

Amazing work today! You can now go back and forth between fractions and decimals easily.

This is a very useful skill for money, measurements, and everyday math.

I’m so proud of you!

Keep practicing with prices and sports scores,
Mrs. Brenda ❀️

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