Lesson Notes By Weeks and Term v4 - JHS 1
Fractions, Decimals a nd Percentages
Download the Lessonotes Mobile Ghana app for faster lesson access on Android and iPhone.
Fractions, Decimals a nd Percentages
Download the Lessonotes Mobile Ghana app for faster lesson access on Android and iPhone.
Subject: Mathematics
Class: JHS 1
Term: 1st Term
Week: 10
Grade code: B7.1.3.1.1
Strand code: 1
Sub-strand code: 3
Content standard code: B7.1.3.1
Indicator code: B7.1.3.1.1
Theme: NUMBER
Subtheme: Fractions, Decimals a nd Percentages
This page supports the lesson note with a companion video and a short classroom-ready summary.
For class groups and homework, share this lesson page so learners also get the summary, objectives, and full lesson context.
This lesson introduces the fundamental relationship between fractions, decimals, and percentages. These three concepts are simply different ways of representing parts of a whole. In our daily lives in Ghana, we encounter them constantly—from calculating a discount on a pair of shoes at the market, to sharing food with family, to understanding our scores on a class test. Mastering these conversions is a crucial skill for everyday problem-solving and for more advanced mathematics.
Introduction: Three Ways to Say the Same Thing Imagine you have a big loaf of 'bofrot'. If you cut it into 4 equal pieces and eat one piece, you have eaten a part of the whole loaf. We can describe this part in three ways: As a Fraction: You ate 1/4 of the bofrot. (1 part out of 4 total parts). As a Decimal: You ate 0.25 of the bofrot. As a Percentage: You ate 25% of the bofrot.
All three—1/4, 0.25, and 25%—represent the exact same amount. Today, we will learn how to move between these forms. A. Converting a Fraction to a Decimal The rule is simple: Divide the numerator by the denominator. The line in a fraction (vinculum) literally means 'divide by'.
Example 1: Convert 3/4 to a decimal. Meaning: This means 3 divided by 4 (3 ÷ 4). Calculation (Long Division): Since 4 cannot go into 3, we add a decimal point and a zero. ``` 0.75 _______ 4 | 3.00 0 ---- 3 0 (Bring down 0) 2 8 (4 x 7 = 28) ---- 20 (Bring down another 0) 20 (4 x 5 = 20) ---- 0 ``` Answer: So, 3/4 = 0.75.
Example 2: Convert 2/5 to a decimal. Meaning: This means 2 divided by 5 (2 ÷ 5). Calculation: ``` 0.4 ______ 5 | 2.0 0 ---- 2 0 2 0 (5 x 4 = 20) ---- 0 ``` Answer: So, 2/5 = 0.4. B. Converting a Fraction to a Percentage There are two main methods for this.