This means that
10,589= 10 +
5
10
+
8
100
+
9
1000
=
10 000
1000
+
500
1000
+
80
1000
+
9
1000
=
10 589
1000
VISIT:
The following two videos explain how to convert decimals into rational numbers.
Part 1
See video:2DBJatwww.everythingmaths.co.za
Part 2
See video:2DBKatwww.everythingmaths.co.za
Converting recurring decimals into rational numbers EMA
When the decimal is a recurring decimal, a bit more work is needed to write the fractional part of the decimal
number as a fraction.
Worked example 2: Converting decimal numbers to fractions
QUESTION
Write 0, 3 _in the formab(whereaandbare integers).
SOLUTION
Step 1: Define an equation
Letx=0,33333...
Step 2: Multiply by 10 on both sides
10 x=3,33333...
Step 3: Subtract the first equation from the second equation
9 x= 3
Step 4: Simplify
x=
3
9
=
1
3
Chapter 1. Algebraic expressions 9