🐭🐸🐹Expressing Decimals as Factions 🐭🐸🐹

 Welcome 👦👧boys and girls to another Mathematics Class. Today, we will be going on an adventure where we will be learning how to express decimals as fractions.

How to convert/change decimals to Fraction?

Definition

A decimal is a way of writing a number that is not whole, using a decimal point to separate the whole part from the fractional part. A fraction represents a part of a whole, written as a ratio of two numbers (numerator over denominator).

To express a decimal as a fraction, you follow these steps:

1.     Write the decimal as a fraction: The digits after the decimal point become the numerator (the top number).

2.     Determine the denominator: The denominator (the bottom number) is a power of 10 (10, 100, 1000, etc.), based on the number of decimal places.

o    1 decimal place → denominator is 10 (tenths)

o    2 decimal places → denominator is 100 (hundredths)

o    3 decimal places → denominator is 1000 (thousandths)

Example 1: Converting a Decimal with One Decimal Place
Convert 0.7 to a fraction.

• Step 1 & 2: 0.7 has one decimal place, so the fraction is 7/10 (seven-tenths).
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Example 2: Converting a Decimal with Two Decimal Places
Convert 0.35 to a fraction.

• Step 1 & 2: 0.35 has two decimal places, so the fraction is 35/100 (thirty-five hundredths).

• Example 3: Converting a Decimal with Three Decimal Places

Convert 0.125 to a fraction.

• Step 1 & 2: 0.125 has three decimal places, so the fraction is 125/1000.

Example 4: Converting a Decimal Greater than 1
Convert 2.6 to a fraction.

• Step 1 & 2: 2.6 has one decimal place and a whole number part. Write it as a mixed number: 2 6/10 (two and six-tenths).
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• Answer: 2 3/5 (This can also be written as an improper fraction: 13/5)

Now👦👧boys and girls we are ready to watch the video clips below on how to change decimals into fractions.

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Ready👦👧boys and girls now we have learnt how to convert decimals to fraction. It's now activities time.

Task 1:

Instructions: Choose the best answer for each question. Write the fraction in its simplest form.

1.     What is 0.5 as a fraction in simplest form?
a) 5/10
b) 1/2
c) 1/5
d) 50/100

2.     What is 0.25 as a fraction in simplest form?
a) 25/100
b) 1/4
c) 5/20
d) 1/5

3.     What is 0.75 as a fraction in simplest form?
a) 3/4
b) 75/100
c) 1/3
d) 7/10

4.     What is 0.2 as a fraction in simplest form?
a) 1/2
b) 2/10
c) 1/5
d) 20/100

5.     What is 0.4 as a fraction in simplest form?
a) 2/5
b) 1/4
c) 4/10
d) 2/10

6.     What is 0.125 as a fraction in simplest form?
a) 125/1000
b) 5/40
c) 1/8
d) 1/5

7.     What is 0.6 as a fraction in simplest form?
a) 3/5
b) 6/10
c) 2/3
d) 1/6

8.     What is 0.8 as a fraction in simplest form?
a) 4/5
b) 8/10
c) 5/4
d) 1/8

9.     What is 0.3 as a fraction in simplest form?
a) 1/3
b) 3/10
c) 3/100
d) 30/100

10. What is 0.05 as a fraction in simplest form?
a) 1/20
b) 5/100
c) 1/5
d) 5/10

11. What is 0.625 as a fraction in simplest form?
a) 5/8
b) 625/1000
c) 2/3
d) 5/4

12. What is 0.02 as a fraction in simplest form?
a) 1/50
b) 2/100
c) 1/5
d) 1/20

13. What is 0.375 as a fraction in simplest form?
a) 3/8
b) 375/1000
c) 1/3
d) 2/5

14. What is 0.9 as a fraction in simplest form?
a) 9/10
b) 1/9
c) 90/100
d) 3/4

15. What is 1.5 as a fraction in simplest form?
a) 1 1/2
b) 15/10
c) 3/2
d) Both A and C are correct

16. What is 0.15 as a fraction in simplest form?
a) 3/20
b) 15/100
c) 5/20
d) 1/15

17. What is 0.7 as a fraction in simplest form?
a) 7/10
b) 1/7
c) 70/100
d) 3/4

18. What is 0.875 as a fraction in simplest form?
a) 7/8
b) 875/1000
c) 1/8
d) 4/5

19. What is 2.25 as a fraction in simplest form?
a) 2 1/4
b) 2 25/100
c) 9/4
d) Both A and C are correct

20. What is 0.004 as a fraction in simplest form?
a) 1/250
b) 4/1000
c) 1/25
d) 2/500

Task 2:

Instructions: Read each statement carefully. Write "True" if the statement is correct or "False" if the statement is incorrect.

1.     The decimal 0.1 is equal to the fraction 1/10. True / False

2.     The decimal 0.50 is equal to the fraction 1/2. True / False

3.     The fraction for 0.65 in simplest form is 13/20. True / False

4.     The decimal 0.3 is equal to the fraction 1/3. True / False

5.     The simplest form of 0.45 is 9/20. True / False

6.     The decimal 0.100 is equal to the fraction 1/10. True / False

7.     The fraction 3/4 is equal to the decimal 0.34. True / False

8.     0.24 in simplest form is 6/25. True / False

9.     A decimal with two decimal places always has a denominator of 1000. True / False

10. To write 2.5 as a fraction, you can write it as 2 1/2. True / False

Task3:

 Instructions: Fill in the blank with the correct fraction in its simplest form.

1.     0.4 = ____

2.     0.55 = ____

3.     0.16 = ____

4.     0.08 = ____

5.     1.2 = ____

6.     0.425 = ____

7.     0.28 = ____

8.     0.036 = ____

9.     0.5 = ____

10. 3.75 = ____

Task 4:

Complete the activity in your notebook.

Task 5:

Complete the activity in your notebook.

Task 6:

Students click and do the liveworksheet activities.

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