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7. Express each of the following decimals in form where q = 0 and p, q are integers
1) 0.36 in) 15.4 fii) 10.25, 4, iv) 3.25
Answers
Answer:
1. 36/100
2. 154/10
3. 1025/100
4. 325/100
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Answer:
Step-by-step explanation:
(i). 0.36 = 36/100
Simplify it in the same p/q form,
⇒ 0.36 = 18/50
On further simplifying it,
⇒ 0.36 = 9/25
This cannot be further simplified in p/q form.
9/25 is in p/q form, where p = 9 and q = 25 are integers and q = 25 ≠ 0.
Hence, the answer is 9/25.
(ii). 15.4 = 154/10
Simplifying it in the same p/q form,
⇒ 15.4 = 77/5
This cannot be further simplified in p/q form.
77/5 is in p/q form, where p = 77 and q = 5 are integers and q = 5 ≠ 0.
Hence, the answer is 77/5.
(iii). 10.25 = 1025/100
Simplifying it in the same p/q form,
⇒ 10.25 = 205/20
On further simplifying it,
⇒ 10.25 = 41/4
This cannot be further simplified in p/q form.
41/4 is in the form p/q, where p = 41 and q = 4 are integers and q = 4 ≠ 0
Hence, the answer is 41/4.
(iv) 3.25 = 325/100Now, on simplifying,3.25 = 13/413/4 is in the form p/q, where p = 13 and q = 4 are integers and q = 4 ≠ 0