Page 25 - SPARK OF MATH book 6

(2-3) Fractions and Decimals.

Converting fractions and mixed numbers to decimals.

7 15 6 54
10 =0.7 100 =0.15 3 10 =3.6 1000 =0.054

To convert a fraction to a decimal, divide the NUMERATOR by the
DENOMINATOR until you get a decimal that terminates or repeats.
If it repeats, place a bar over the number that repeats.

Example: 2
Example: 1
Example: 3
Example 1 : Example 1 : Example 1 :
(Repeating decimal)
0.875
0.35 7 7.000 2
7 0.35 20 7.0 0 2 8 2.875 3 0.66 0.66
20 60 64
100 60 3 2.00
56
100 0
0 40 2 0
40
note: 7= 7.0= 7.00 0 1 8
20
18
Note: the remainder is
2
repeated.

Convert to decimals.

41 7 15
1 2 3 6
100 100 1000

4 5 2
4 5
5 8 6 6

5
7 9 2 3
11 8 4 9 8

Convert to decimals using two different ways.

a) 3 b) 1 c) 11 d) 13
5 4 2 20

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