Converting Fractions to Decimals Easily

Learn how to convert fractions to decimals easily using simple techniques and a place value table. Understand concepts like converting fractions with denominators other than 10, 100, or 1000. Discover how to use equivalent fractions for conversion. Practice converting various fractions into decimals step by step with visuals.

• Fractions
• Decimals
• Converting
• Techniques
• Math

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Uploaded on Feb 26, 2025 | 0 Views

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Presentation Transcript

1. How can we describe this fraction using words? 3 out of 10 3 10 3 tenths 3 divided by 10

2. We can use a place value table to convert a fraction into a decimal. 3 3 tenths 10 27 100 27 hundredths 181 1000 181 thousandths

3. On your whiteboard: use a place value table to convert these fractions into decimals. 7 54 100= 512 1000= 0.7 0.54 0.512 10= 7 5 45 0.5 0.07 0.045 100= 10= 1000= 13 10= 108 100= 1415 1000= 1.3 1.08 1.415

4. How can we convert a fraction if the denominator is not 10, 100 or 1000? 4 2 5 1 2 25 3 4 7 50 11 20

5. How can we convert a fraction if the denominator is not 10, 100 or 1000? 2 5= 40 100 4 25= 16 100 1 2= 50 100 7 50= 14 100 3 4= 75 100 11 20= 55 100 We can use equivalent fractions!

6. Converting Fractions to Decimals Convert this fraction to a decimal. 2 1 5 2 = 0.2 10 2 What do we need to multiply the denominator by to make 10?

7. Converting Fractions to Decimals Convert this fraction to a decimal. 2 3 5 6 = 0.6 10 2 What do we need to multiply the denominator by to make 10?

8. Converting Fractions to Decimals Convert this fraction to a decimal. 2 6 5 12 = 1.2 10 2 What do we need to multiply the denominator by to make 10?

9. Converting Fractions to Decimals Convert this fraction to a decimal. 2 11 50 22 = 0.22 100 2 What do we need to multiply the denominator by to make 100?

10. Converting Fractions to Decimals Convert this fraction to a decimal. 25 1 4 25 = 0.25 100 25 What do we need to multiply the denominator by to make 100?

11. Converting Fractions to Decimals Convert this fraction to a decimal. 4 7 28 = 0.28 25 100 4 What do we need to multiply the denominator by to make 100?

12. Converting Fractions to Decimals Convert this fraction to a decimal. 5 9 45 = 0.45 20 100 5 What do we need to multiply the denominator by to make 100?

13. Converting Fractions to Decimals YOUR TURN Convert this fraction to a decimal. Convert this fraction to a decimal. 5 2 4 5 9 45 8 = 0.45 = 0.8 20 100 10 5 2 What do we need to multiply the denominator by to make 100?

14. Converting Fractions to Decimals YOUR TURN Convert this fraction to a decimal. Convert this fraction to a decimal. 5 2 9 9 45 18 = 0.45 = 0.18 20 50 100 100 5 2 What do we need to multiply the denominator by to make 100?

15. Converting Fractions to Decimals YOUR TURN Convert this fraction to a decimal. Convert this fraction to a decimal. 5 5 7 9 45 35 = 0.45 = 0.35 20 20 100 100 5 5 What do we need to multiply the denominator by to make 100?

16. Converting Fractions to Decimals YOUR TURN Convert this fraction to a decimal. Convert this fraction to a decimal. 5 4 9 2 45 8 = 0.45 = 0.08 20 25 100 100 5 4 What do we need to multiply the denominator by to make 100?

17. Converting Fractions to Decimals YOUR TURN Convert this fraction to a decimal. Convert this fraction to a decimal. 5 4 9 13 25 45 52 = 0.45 = 0.52 20 100 100 5 4 What do we need to multiply the denominator by to make 100?

18. Converting Fractions to Decimals YOUR TURN Convert this fraction to a decimal. Convert this fraction to a decimal. 5 25 9 3 4 45 75 = 0.45 = 0.75 20 100 100 5 25 What do we need to multiply the denominator by to make 100?

19. Converting Fractions to Decimals YOUR TURN Convert this fraction to a decimal. Convert these fractions to decimals. 5 3 10 17 10 a) b) = 0.3 = 1.7 9 45 = 0.45 7 50= 0.14 21 50= 0.42 20 100 c) d) 5 3 20= 0.15 17 20= 0.85 e) f) What do we need to multiply the denominator by to make 100? 8 25= 0.32 5 4 g) h) = 1.25 131 500= 0.262 27 200= 0.135 i) j)

20. How can we convert these fractions? 2 2 6 20 3 10 7 20 14 40 3 33 150 11 50 3 5 27 60 9 20 30 250 6 50 2 46 400 23 200 3 363 750 121 250

22. DIGIT Puzzle How many ways can you complete this calculation? = 0 13 50= 0.26 04 25= 0.16 13 20= 0.65 18 50= 0.36 09 25= 0.36 17 20= 0.85 Use any digits How many different denominators can you use? Use digits only once 19 25= 0.76 21 60= 0.35 Some Answers 36 80= 0.45 36 75= 0.48

23. 3000 8000 1500 4000 750 2000 375 1000 0.375 3 8 Challenge: How could we start to convert this fraction?