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Grade 7 - Mathematics
6.4 Terminating Decimals

Converting a decimal to a fraction (rational number):

Method:

  1. Count the number of digits after the decimal point.
  2. Write the number given without the decimal in the numerator.
  3. Write number one in the denominator followed by, as many zeros as the number of digits after the decimal point, to the right side of the number one.
  4. Simplify or reduce the fraction to lowest term.
Example:
Express 0.5 in the form of rational number (p/q).
Solution:
There is one digit after decimal, the numerator is 5.
The denominator is 10.
5/10 = 1/2.
Therefore, 0.5 = 1/2
Directions: Answer the following questions. Also write at least 5 examples of terminating decimals.
Q 1: Express 0.52 in the form of a rational number (p/q).
13/25
20/12
20/13

Q 2: Express 0.7 in the form of a rational number (p/q).
7/10
15/6
10/7

Q 3: Express 0.5 in the form of a rational number (p/q).
6/2
1/2
2

Q 4: Express 0.6 in the form of a rational number (p/q).
5/3
3/5
6/5

Q 5: Express 3.0625 in the form of a rational number (p/q).
16/19
46/19
49/16

Q 6: Express 0.75 in the form of a rational number (p/q).
3/4
15/3
4/3

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Question 8: This question is available to subscribers only!


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