# ALGERAIC FRACTIONS

## 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

ALGEBRAIC EXPRESSION

MULTIPLICATION AND DIVISION OF DIRECTED NUMBERS

APPROXIMATION AND ESTIMATION

ARITHMETIC

FRACTIONS

SUBSCRIBE BELOW FOR A GIVEAWAY

Building & maintaining an elearning portal is very expensive, that is why you see other elearning websites charge fees. Help to keep this learning portal free by telling mum or dad to donate or support us. Thank you so much. Click here to donate

error: Content is protected !!