Convert the following recurring decimals into a rational number0.82
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Answered by
5
The following question asked us to convert the given decimal number into a rational number i.e. in p / q form where q ≠ 0.
Solution ➤
❖ 0.82
= 0.8 + 0.02
= 8 × 1 / 10 + 2 × 1 / 100
= 8 / 10 + 2 / 100 [ L.C.M. = 100 ]
= 80 / 100 + 2 / 100
= ( 80 + 2 ) / 100
= 82 / 100
= 41 / 50
Hence, the answer is 41 / 50
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Solution ➤
❖ 0.82
= 0.8 + 0.02
= 8 × 1 / 10 + 2 × 1 / 100
= 8 / 10 + 2 / 100 [ L.C.M. = 100 ]
= 80 / 100 + 2 / 100
= ( 80 + 2 ) / 100
= 82 / 100
= 41 / 50
Hence, the answer is 41 / 50
✪ Be Brainly ✪
Answered by
0
Answer:
what he said
Step-by-step explanation:
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