Fractions, Decimals a nd Percentages
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Subject: Mathematics
Class: JHS 1
Term: 1st Term
Week: 12
Grade code: B7.1.3.2.1
Strand code: 1
Sub-strand code: 3
Content standard code: B7.1.3.2
Indicator code: B7.1.3.2.1
Theme: NUMBER
Subtheme: Fractions, Decimals a nd Percentages
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My dear learners, fractions are all around us in our daily lives in Ghana. When your mother sends you to buy `1 ½` cups of gari and later asks you to add another `¾` cup to cook for the family, you are dealing with fractions. When a seamstress cuts `2 ¼` yards of cloth from a roll of `10 ½` yards, she is subtracting fractions. Understanding how to add and subtract fractions correctly is a vital skill for cooking, shopping, carpentry, farming, and many other activities. Today, we will master this important skill.
A. The Golden Rule of Adding/Subtracting Fractions
The most important rule you must never forget is this: You can only add or subtract fractions if they have the same denominator. If the denominators are different, our first job is to make them the same. We do this by finding a common denominator. The best common denominator to use is the Least Common Multiple (LCM) of the original denominators. B. Finding the Least Common Multiple (LCM)
The LCM is the smallest number that is a multiple of all the denominators.
Example: Find the LCM of 3 and 4. Multiples of 3 are: 3, 6, 9, 12, 15, 18, ... Multiples of 4 are: 4, 8, 12, 16, 20, ... The first number that appears in both lists is 12. So, the LCM of 3 and 4 is 12. C. Adding and Subtracting Proper Fractions