Page 94 - ICSE Math 6

Conversion of Fractions into Decimals

Conversion of decimal fractions into decimals

For a proper or an improper fraction: Take the numerator and put the decimal point after as many
digits from the right as the number of zeroes in the denominator. For example, there are two zeroes in

the denominator of 835 , so its decimal notation is 8.35. Also, 36 = 0.036, 5 = 0.05 and so on.
100 1000 100

For a mixed fraction: Find the decimal notation of the fractional part and write the whole part to the
left of decimal point in this notation. For example, 12 3 = 12.03, as 3 = 0.03.
100
Example 4: Convert the following decimal fractions into decimals.
19 4592 3 13
(a) (b) (c) 7 (d) 22
100 10 100 1000
19 4592
Solution: (a) = 0.19 (b) = 459.2
100 10
(c) As, 3 = 0.03 (d) As 13 = 0.013
100 1000
3 13
∴ 7 = 7.03 ∴ 22 = 22.013
100 1000

Conversion of other fractions into decimals

Convert the given fraction into its equivalent decimal fraction and then into decimals.
Example 5: Convert the following fractions into decimals.
13 8 23
(a) (b) (c) 7
20 125 200
13 13×5
Solution: (a) = (Multiplying numerator and denominator by 5)
20 20×5

65
= = 0.65 (Denominator has 2 zeros)
100
8 8×8
(b) = (Multiplying numerator and denominator by 8)
125 125×8
64
= = 0.064 (Denominator has 3 zeros)
1000
23 23×5
(c) 7 = 7 (Multiplying numerator and denominator of

200 200×5 fractional part by 5)
115
= 7 = 7.115 (Denominator of fractional part has 3 zeros)
1000

Conversion of Decimals into Fractions

Write the given number without decimal point as the numerator. Then, write 1 in the denominator
followed by as many zeros as the number of digits after the decimal point. Reduce the fraction to the
simplest form, if needed.

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