express 3.423 in the form p/q, where p and q are integer and q is not equal to 0
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The question asked to convert the given decimal number into a rational number i.e. in p / q form where q ≠ 0.
Solution ➤
3.423
= 3 + 0.4 + 0.02 + 0.003
= 3 + 4 × 1 / 10 + 2 × 1 / 100 + 3 × 1 / 1000
= 3 + 4 / 10 + 2 / 100 + 3 / 1000
【 L.C.M. = 1000 】
= 3000 / 1000 + 400 / 1000 + 20 / 1000 + 3 / 1000
= (3000 + 400 + 20 + 3) / 1000
= 3423 / 1000
Hence, 3.423 = 3423 / 1000
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Solution ➤
3.423
= 3 + 0.4 + 0.02 + 0.003
= 3 + 4 × 1 / 10 + 2 × 1 / 100 + 3 × 1 / 1000
= 3 + 4 / 10 + 2 / 100 + 3 / 1000
【 L.C.M. = 1000 】
= 3000 / 1000 + 400 / 1000 + 20 / 1000 + 3 / 1000
= (3000 + 400 + 20 + 3) / 1000
= 3423 / 1000
Hence, 3.423 = 3423 / 1000
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