Units and Fractions

Conversions and Units

Converting and Calculating Units of Length

Converting and Calculating Units of Mass

Calculating Money

Converting Time and Calculating Time

Fractions

Introduction to Fractions

Equivalent Fractions

Comparing Fractions

Adding and Subtracting Fractions

Multiplying Fractions

Dividing Fractions

Calculating Fractions and Decimals

Ratios, Percentages, Proportions

Introduction to Ratios

Fractions and Percentages

How to Find Percentage of a Number

Interest and Interest Rate Calculation

Simple Interest and Compound Interest

Directly Proportional and Inversely Proportional

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Fractions and Percentages

Units and Fractions Fractions and Percentages

Courses Overview

🎬 Video Tutorial

(0:01) Understanding Percentages: A percentage represents a fraction with a denominator of 100. For example, 70% means 70 out of 100, which is equivalent to 7/10.
(0:43) Converting Fractions to Percentages: Adjust the denominator to 100 by scaling both the numerator and denominator, then express it with a % symbol (e.g., 6/25 = 24/100 = 24%).
(1:48) Percentage as Part-Whole Relationship: Calculating percentages involves dividing the part by the whole and adjusting to a denominator of 100.
Real-Life Applications: Percentages are used to express proportions, like sales, discounts, or distributions.

📂 Revision Cards

Introduction to percentages with steps for converting percentages to fractions and real-life examples of percentage use. — 1) Percentages

Converting fractions to percentages using expanding and simplifying fractions methods. — 2) Converting Fractions to Percentages

Calculating percentages using footballs and basketballs as examples, showing 40% of 20 balls are footballs and 60% are basketballs. — 3) Percentages Example

🍪 Quiz Time - Practice Now!

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Fractions and Percentages

1 / 6

Q: Which of these percentages is equal to $\frac{3}{10}$?

30%

70%

50%

20%

Feedback: Not quite! To convert the fraction 3/10 to a percentage, multiply by 100. 3/10 multiplied by 100 gives 30%.

Feedback: Well done! To convert the fraction 3/10 to a percentage, multiply by 100. 3/10 multiplied by 100 gives 30%.

2 / 6

Q: What is 20% as a fraction?

$\frac{1}{2}$

$\frac{1}{3}$

$\frac{1}{5}$

$\frac{1}{4}$

Feedback: Not quite! To convert 20% to a fraction, you need to express 20% as 20/100 and then simplify it. When simplified, 20/100 becomes 1/5.

Feedback: Well done! To convert 20% to a fraction, you need to express 20% as 20/100 and then simplify it. When simplified, 20/100 becomes 1/5.

3 / 6

Q: A school has 30 teachers, and 12 of them teach science. What percentage of the teachers teach science?

50%

40%

30%

60%

Feedback: Not quite! Dividing the number of science teachers by the total number and multiplied by 100, (12 / 30) × 100 = 40%.

Feedback: Well done! Dividing the number of science teachers by the total number and multiplied by 100, (12 / 30) × 100 = 40%.

4 / 6

Q: A sports team played 45 games and won 27 of them. What percentage of the games did they win?

55%

60%

65%

75%

Feedback: Not quite! Dividing the number of games won by the total games played and multiplying by 100, (27 / 45) × 100 = 60%.

Feedback: Well done! Dividing the number of games won by the total games played and multiplying by 100, (27 / 45) × 100 = 60%.

5 / 6

Q: A company sells 120 items in a month, and 96 of them are on sale. What percentage of items sold were on sale?

60%

70%

50%

80%

Feedback: Not quite! Dividing the number of items on sale by the total number of items sold and then multiplying by 100. (96 / 120) × 100 = 80%.

Feedback: Well done! Dividing the number of items on sale by the total number of items sold and then multiplying by 100. (96 / 120) × 100 = 80%.

6 / 6

Q: What fraction represents 120% in its simplest form?

$\frac{5}{6}$

$\frac{4}{5}$

$\frac{3}{4}$

$\frac{6}{5}$

Feedback: Not quite! To convert 120% to a fraction, first write it as 120/100, and then simplify it to 6/5.

Feedback: Well done! To convert 120% to a fraction, first write it as 120/100, and then simplify it to 6/5.

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