Answer:
The two new fractions would be [tex]\frac{28}{36}[/tex] and [tex]\frac{15}{36}[/tex]
Step-by-step explanation:
When finding the common denominator you are finding the LCD(Least Common Denominator) in this case the least common multiple is 36
Multiple of 9: 9, 18, 27, 36, 45
Multiple of 12: 12, 24, 36, 48, 60
So we multiply the numerator and denominator of 7/9 by 4
and multiply the numerator and denominator of 5/12 by 3
[tex]\frac{7*4}{9*4} =\frac{28}{36}[/tex]
[tex]\frac{5*3}{12*3} =\frac{15}{36}[/tex]
[tex]\frac{28}{36} -\frac{15}{36}=\frac{13}{36}[/tex]