Table of Contents
ALGERAIC FRACTIONS
To add or subtract fractions with different denominators, first change them to equivalent fractions. This is done by finding the L C M of the denominators
Example1: Simplify 2a/5 + 4a/3
Solution:
The L C M is 15
6a + 20a/ 15 = 26a/15
Example 2: Simplify 3/5x + 1/2x – 1/4x
Solution:
Find the L C M of the expression = 20X
12 + 10 – 5 = 17/20X
SIMPLIFYING FRACTION
Example 1: Reduce 25X4Y3/35X3y3
solution
Divide through by 5X3Y3(the common factor )
= 5x/7
Example 2: Reduce 8X3Y2/6X3Z
Solution:
Divide through by 2X 3(the common factor)
4Y2/3Z
MULTIPLICATION AND DIVISION OF ALGEBRAIC FRACTION
Example 1: Simplfy (X-2)/7 * 4/(X-2)
Solution : X – 2/7 * 4/ X -2 (X-2) divides themselves
= 4/7
Example 2: Simplify 6X2/11y ÷ 18X/33Y2
Solution
6X2/11y * 33Y2/18X (division sign change to multiplication)
= XY
FRACTIONS WITH BRACKETS
Example1: simplify the following (a) 2x + 5/4 + 2X – 3 /4 (b) 7X – 2 /4 + X – 4 /6
Solution:
(a). The L C M is 4
(2X + 5) + ( 2X – 3)/4
4x + 2/4 = 2(2X + 1)/4
= 2X + 1/2
(b). 7X – 2 /4 + X – 4 /6
Solution:
The L C M = 12
21x – 6 + 2X – 6 – 8 / 12
= 23X – 14/ 12
See also
MULTIPLICATION AND DIVISION OF DIRECTED NUMBERS
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