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Grade 7 - Mathematics
6.7 Writing Pure Recurring Decimal into Rational Number Form - II

Procedures:
  1. Remove the decimal point and write the recurring part as the numerator
  2. Write as many nines in the recurring part
  3. Write the fraction in its lowest terms.

Example:
Convert 0.56 into a rational number form.
Solution:
Let x = 0.56
This means x = 0.565656..........I
There are two digits in the recurring decimal part. Hence multiply both sides by 100.
100x = 56.565656.....II
Subtract I from II, we get
99x = 56
x = 56/99


Directions: Convert the given recurring decimal into rational form. Also write atleast 5 examples of your own.
Q 1: Convert 0.87 into a rational number form.
56/99
33/29
29/33
46/33

Q 2: Convert 0.69 into a rational number form.
99/19
23/33
33/23
56/99

Q 3: Convert 0.27 into a rational number form.
3/11
12/6
11/3
None of these

Q 4: Convert 0.54 into a rational number form.
6/11
33/99
11/6
46/33

Q 5: Convert 0.45 into a rational number form.
5/11
46/99
11/5
56/99

Q 6: Convert 0.96 into a rational number form.
56/99
33/32
86/99
32/33

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Question 8: This question is available to subscribers only!


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