Question

Give four rational numbers equivalent to `4/9`.

Answer 1

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`