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Question
Give four rational numbers equivalent to `4/9`.
Solution
The given rational number is `4/9`.
We know that the equivalent number can be found by multiplying or dividing the numerator and denominator of a rational number by the same number.
Hence, the first rational number equivalent to the given rational number
`4/9 = (4 xx 2)/(9 xx 2) = 8/18`
And the second rational number equivalent to the given rational number
`4/9 = (4 xx 3)/(9 xx 3) = 12/27`
And the third rational number equivalent to the given rational number
`4/9 = (4 xx 4)/(9 xx 4) = 16/36`
And the fourth rational number equivalent to the given rational number
`4/9 = (4 xx 5)/(9 xx 5) = 20/45`
Thus, the four rational numbers equivalent to the given rational number are
`8/18, 12/27, 16/36 "and" 20/45`
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