Mathematics
Fractions
A group of related sciences, including algebra, geometry, and calculus, concerned with the study of number, quantity, shape, and space and their interrelationships by using a specialized notation
Fractions
Fractions
Fractions
A fraction is a number which is expressed in the form of a/b where a - is the top number called numerator and b- is the bottom number called denominator.
Consider the diagram below
The shaded part in the diagram above is 1 out of 8, hence mathematically it is written as 1/8
Example 5
(a) 3 out of 5 ( three-fifths) = 3/5
Example 6
(b) 7 0ut of 8 ( i.e seven-eighths) = 7/8
Example 7
a. 5/12=(5 X 3)/(12 x 3) =15/36b. 3/8 =(3 x 2)/(8 X 2) = 6/16
Dividing the numerator and denominator by the same number (This method is used to simplify the fraction)
Proper, improper fractions and mixed numbers
Proper fraction -is a fraction in which the numerator is less than denominator
Example 8
Proper fractions; 4/5, 1/2, 11/13
Improper fraction -is a fraction whose numerator is greater than the denominator
Example 9
Example of improper fractions are; 12/7, 4/3, 65/56
Mixed fraction -is a fraction which consist of a whole number and a proper fraction
Example 10
Mixed fractions
(a) To convert mixed fractions into improper fractions, use the formula below
(b) To convert improper fractions into mixed fractions, divide the numerator by the denominator
Example 11
Convert the following mixed numbers into improper fractions
Solution:
Example 12
Change 7/4 into a mixed number
Solution:
7/4 = 1¾
Example 13
Write the following fractions in order of size beginning with the smallest; 2/3, 5/6, 1/2, 3/4
Solution:
Change the fractions into decimals
Conversions of improper fractions to mixed fractions and vice versa
Comparing fractions
Operations on fractions
Example 14
Order of operations on fractions
Word problems involving fractions in real life situations
Abdiel takes 2/3 of an hour to read 30 pages of a story book. How long does he take to read 1 page?
Solution:
1 page will take?
Example 15
Musa is 12 years old. His father is 3¾ times as old as he is. How old is his father?
Solution:
Example 16
1¾ metres of a material are needed to make a suit. How many suits can be made from 63 metres?
Solution:
Listening to this topic
