WEEK 3AND 4 FRACTIONS (TYPES OF FRACTIONS)
CONTENT:
A Fraction is a portion or part of a whole. Imagine a whole as a complete object. For example, the pie below is a whole which can be cut into sectors (or slices) representing different fractions as follows:
Whole (1) half (1/2) three- quarters (3/4)
Types of fraction
- Common fractions or vulgar: ½, ¼, ¾, 3/8 and 5/8 are called fraction. One number over another. Numerator is the term given to the number on the top part of a fraction. De nominator is the term given to the number at the bottom part of a fraction.
- Decimal fractions: are simply called decimals example 0.897, 7.864 etc.
- Proper fraction: the numerator is less than the denominator. e.g. 2/5, ¼,ect
- An improper fraction the numerator is greater than the denominator e.g 8/3, 12/5 etc.
CHANGING AN IMPROPER FRACTION TO A MIXED NUMBER
EXAMPLE 1: Change 15/4 to a mixed number.
Solution
= = + = =
Example 2: change to improper fraction.
Solution:
= = =
=
EQUIVALENT FRACTIONS
Fraction that have the same value are said to be equivalent. Example are ½, 2/4, 3/6, 4/8, 5/10, 6/12 etc.
Example 1: convert 2/9 into an equivalent fraction with the denominator 54
Solution:
2/9 = /54 (divide the second denominator by the first denominator to obtain the multiplier)
54/9 =6
Therefore use the 6 to multiply 2/9= 12/54
2/9 =12/54
Finding the missing part of these fractions: /10 =12/= = 20/50 = / 80
Solution
Step 1 Use 20/50 as your reference fraction because both its numerator and denominator are given. 20/50 = 2/5
10/5 (use the 5 of denominator to get your numerator of /10) =2
Therefore use 2 to multiple both 2/5 =4/10
Step 2 use the 2 to divide the numerator of 12/ to get 6 and use the 6 to multiply 2/5 = 12/30
Step 3: use 5 to divide the denominator of 80 to get 16
Therefore use 16 to multiply 2 / 5 = 32 /80
So 4/10 = 12/30 = 20/50 =32/80.
DO THESE
1. Express each of the following fractions as a mixed numbers: (a) 9/5 (b) 15/2
2. Express each of the following fractions as improper fraction: (a) 11/2
(b) 43/8
3. Copy and complete each of the following: 3/5 = /15 (b) 4/7 = 12/y = y/35 = y/49 = 44/y where y =
ASSIGNMENT: EXERCISE 5.1 NO. 1, 2 & 3; EXERCISE 5.2 NO 4a-j PAGE 36 & 38