Converting Fractions 1

1
Converting Fractions 1
3 4
means that you have 3 out of 4 available pieces
of something. This is called a FRACTION, but we
can also show this amount in other ways.
FRACTIONS can be converted to DECIMALS
2
Converting Fractions 1 - DECIMALS
DECIMALS arent as accurate as fractions, but are
sometimes easier to understand.
1 25
of 1 isnt as easy to understand as 0.04 (or 4p)
Decimals are easier to put in order than
fractions, especially with a calculator.
3
Converting Fractions 1 - DECIMALS
To convert any FRACTION to a DECIMAL with a
calculator we just type NUMERATOR DENOMINATOR
(top number) (bottom number)
1 25
becomes 1 25 0.04
4
Converting Fractions 1 - DECIMALS
To convert any FRACTION to a DECIMAL without a
calculator we have to do a DIVISION calculation
1 25 25 ) 1
5
Converting Fractions 1 - DECIMALS
1 shared into 25 parts cant go, so just add a 0
after the DECIMAL POINT
0 .
1 25 25 ) 1 . 0
pretend that the decimal point isnt there, and
read this as 10 instead of 1.0
6
Converting Fractions 1 - DECIMALS
10 shared into 25 parts cant go, so we add
another 0
0 . 0
1 25 25 ) 1 . 0 0
7
Converting Fractions 1 - DECIMALS
100 shared into 25 parts goes exactly with no
remainder
0 . 0 4
1 25 25 ) 1 . 0 0
8
Converting Fractions 1 - DECIMALS
sometimes we have a remainder.
0
1 3 3 ) 1
9
Converting Fractions 1 - DECIMALS
10 3 is 3 with 1 remaining
0 . 3
1 3 3 ) 1 . 0
1
10
Converting Fractions 1 - DECIMALS
10 3 is 3 with 1 remaining
0 . 3 3
1 3 3 ) 1 . 0 0
1
1
11
Converting Fractions 1 - DECIMALS
10 3 is 3 with 1 remaining
0 . 3 3 3
1 3 3 ) 1 . 0 0 0
1
1
1
once we can see a pattern we can see what the
next numbers will be.
12
Converting Fractions 1 - DECIMALS
10 3 is 3 with 1 remaining
1 3 0.33333333333333
.
this can be written as 0 . 3 read as 0 . 3
RECURRING The dot means repeat this number.