Grade Six Mathematics

2022-10-30 -

Let’s try it with 9 4

From 4B

-First, divide the numerator by the denominator = 9÷4 = 2 Remainder 1

-Write down the whole number part, 2. Then take the remainder (1) and write it over the original denominator. 2 1

So, is the same as 2 1 .

Now, let’s put what we have learned into practice.

Activity 2

Convert the following improper fractions to mixed numbers, and mixed numbers to improper fractions:

Addition of fractions with a common denominator

If denominators of two or more fractions are the same, then we can directly add the numerators, keeping the denominator common.

Adding fractions with different Denominators

When two or more fractions with different denominators are added together, then we cannot add the numerators directly.

Make the denominators of the fractions the same, by finding the Lowest Common Multiple (LCM) of denominators and rationalizing them.

For example: 3+ 1

4 6

Step 1- Find the lowest common multiple of both denominators. The LCM of 4 & 6 is 12.

Step 2 - Rename each fraction. Multiply the denominator by a number that will give you the L.C.M (12). Multiply the numerator by the same number. (In this example, we’ll multiply the denominator and numerator of the first fraction by 3, and the denominator and numerator of the second fraction by 2).

3x3 + 1x2 4x3 6x2

= 9 + 2 12 12

Step 3 Add both numerators and write back the whole (denominator)

9+ 2 = 11

12 12

Now that we know how to add fractions with like and unlike denominators, let’s work the following.

Activity 3

Find the sum of the following fractions:

Subtraction of Fractions

There are 3 simple steps to subtract fractions

● Step 1. Make sure the denominators are the same (if not, as we did with the addition of fractions, we find the L.C.M in order to derive a common denominator).

● Step 2. Subtract the numerators. Put the answer over the same denominator.

●

Step 3. Simplify the fraction (if needed).

For example:

– 2 6

L.C.M of 15 and 6 = 30

Multiply the denominator by a number that will give you the L.C.M (30). Multiply the numerator by the same number.

= 6x2 - 2x5 15x2 6x5

= 12 - 10 30

2 = when simplified = 1 30 15

Let’s practice a few.

Activity 4

6 15

Subtract the following fractions:

Ok, boys and girls, that’s all for today. Check back next week for the answers to this week’s questions. Next week we’ll continue to look at fractions, where we will be examining the concept of multiplication and division of same.