Answer:
![\frac{12}{63} \: and \: \frac{14}{63}](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%7D%7B63%7D%20%5C%3A%20and%20%5C%3A%20%20%5Cfrac%7B14%7D%7B63%7D%20%20)
Step-by-step explanation:
The lowest common multiple between 21 and 9 is 63 as 21 = 21, 42, 63
9 = 9, 18, 27, 36, 45, 54, 63
therefore the common denominator is 63
![\frac{4}{21} = \frac{?}{63}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B21%7D%20%20%3D%20%20%5Cfrac%7B%3F%7D%7B63%7D%20)
21 × 3 = 63, so do the same to the numerator.
4 × 3 = 12 the numerator is 12
![\frac{4}{12} = \frac{12}{63}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B12%7D%20%20%3D%20%20%5Cfrac%7B12%7D%7B63%7D%20)
let's do the same to 2/9
![\frac{2}{9} = \frac{?}{63}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B9%7D%20%20%3D%20%20%5Cfrac%7B%3F%7D%7B63%7D%20)
9 × 7 = 63, so do the same to the numerator.
2 × 7 = 14
the numerator is 14
![\frac{2}{9} = \frac{14}{63}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B9%7D%20%20%3D%20%20%5Cfrac%7B14%7D%7B63%7D%20)