💯%Expressing Percentage as Fraction💯%

Welcome 👦👧boys and girls to another class. Today, we will be going on an adventure where we will be exploring the topic: Expressing Percentage as Fraction. Read all information carefully before writing your answers. Show all working. 

A percentage is a number or ratio that represents a fraction of 100.
To express a percentage as a fraction, you write the percentage number over 100 and then simplify the fraction to its lowest terms (simplest form).

The Simple Rule: Percent means "per hundred," so drop the % sign and put the number over 100.

The symbol that uses for percent=% 

Steps to Simplest Form:

1.    Write the percentage as a fraction with a denominator of 100 (e.g., 45% = 45/100).

2.     Find the Greatest Common Factor (GCF) of the numerator and the denominator.

3.     Divide both the numerator and denominator by the GCF to get the simplest form. 

Example 1 (Basic): Express 60% as a fraction in simplest form.

•   Step 1: 

• $60\mathrm{\%}=\frac{60}{100}$

• Step 2: GCF of 60 and 100 is 20.

• Step 3: $\frac{60÷20}{100÷20}=\frac{3}{5}$

• Answer: $\frac{3}{5}$

Example 2 (Whole Number): Express 25% as a fraction in simplest form.

• Step 1: $25\mathrm{\%}=\frac{25}{100}$

• Step 2: GCF of 25 and 100 is 25.

• Step 3: $\frac{25÷25}{100÷25}=\frac{1}{4}$

• Answer: $\frac{1}{4}$

Example 3 (With Decimals): Express 12.5% as a fraction in simplest form.

• Step 1: $12.5\mathrm{\%}=\frac{12.5}{100}$

• Step 2: Multiply numerator and denominator by 10 to remove the decimal: $\frac{125}{1000}$

• Step 3: GCF of 125 and 1000 is 125.

• Step 4: $\frac{125÷125}{1000÷125}=\frac{1}{8}$

• Answer: $\frac{1}{8}$

Example 4 (Over 100%): Express 150% as a fraction in simplest form.

• Step 1: $150\mathrm{\%}=\frac{150}{100}$

• Step 2: GCF of 150 and 100 is 50.

• Step 3: $\frac{150÷50}{100÷50}=\frac{3}{2}$ (This is an improper fraction, which is acceptable).

• Answer: $\frac{3}{2}$

👦👧boys and girls let us watch the video clips on expressing percentage as fraction👇👇

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👦👧boys and girls now we have learnt about expressing percentage as fraction let us do the activities below👇👇

Task 1: Circle the correct fraction in simplest form.

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

2.     What is 75% as a fraction in simplest form?
a) 3/4         b) 75/100         c) 1/4          d) 3/5

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

4.     What is 40% as a fraction in simplest form?
a) 2/5            b) 4/10           c) 2/4         d) 4/5

5.     What is 80% as a fraction in simplest form?
a) 8/10       b) 4/5     c) 80/100        d) 5/4

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

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

8.     What is 30% as a fraction in simplest form?
a) 30/100     b) 3/100        c) 10/30         d) 3/10

9.     What is 90% as a fraction in simplest form?
a) 9/10       b) 90/100     c) 10/9         d) 9/100

10. What is 45% as a fraction in simplest form?
a) 45/100             b) 9/20            c) 5/9           d) 4.5/10

11. What is 35% as a fraction in simplest form?
a) 7/20            b) 35/100        c) 7/10        d) 3.5/10

12. What is 16% as a fraction in simplest form?
a) 16/100          b) 4/25           c) 8/50           d) 1/6

13. What is 125% as a fraction in simplest form?
a) 125/100        b) 1/25     c) 5/4      d) 4/5

14. What is 37.5% as a fraction in simplest form?
a) 3/8         b) 37.5/100        c) 3/4               d) 8/3

15. What is 66% as a fraction in simplest form? (Round to nearest whole number)

a) 66/100           b) 33/50        c) 2/3           d) 3/5 

Task 2: Write the following percentage as fraction in the simplest form.

1. 4% 

2. 20%

3. 5%

4. 10%

5. 25%

6. 8%

7. 40%

8. 15%

9. 50%

10. 75%

Task 3: Write "True" if the fraction is correctly simplified, or "False" if it is not.

1. $25\mathrm{\%}=\frac{1}{4}$ ______

2. $60\mathrm{\%}=\frac{3}{5}$ ______

3. $15\mathrm{\%}=\frac{3}{20}$ ______

4. $4\mathrm{\%}=\frac{2}{5}$ ______

5. $250\mathrm{\%}=\frac{5}{2}$ ______

6. $12\mathrm{\%}=\frac{3}{25}$ ______

7. $55\mathrm{\%}=\frac{11}{20}$ ______

8. $70\mathrm{\%}=\frac{7}{100}$ ______