Answer:
To rewrite the given fraction with the least common denominator between them
The given fractions are,
![(1)/(3),(5)/(10),(7)/(30)](https://img.qammunity.org/2023/formulas/mathematics/high-school/97npww8sr2b3q016jqgobzixlnr0bv45s2.png)
we get, LCM of 3,10,30 is 30
The equivalent fractions for the above factions as common denominator 30 is as follows,
For 1/3,
Multiply and divide by 10, we get,
![=(1)/(3)*(10)/(10)=(10)/(30)](https://img.qammunity.org/2023/formulas/mathematics/high-school/lfzwgdeourodzx7bc91b9236twk0jleyk3.png)
Using this we get,
![(1)/(3)=(10)/(30)](https://img.qammunity.org/2023/formulas/mathematics/high-school/4dh2p2fkloll2zlf9x43ybtxrgpfzz8vso.png)
For 5/10,
Multiply and divide by 3, we get,
![(5)/(10)=(5)/(10)*(3)/(3)=(15)/(30)](https://img.qammunity.org/2023/formulas/mathematics/high-school/dalcl5wfaawijpabqztwnwzjbxp5yumtt8.png)
Using this we get,
![(5)/(10)=(15)/(30)](https://img.qammunity.org/2023/formulas/mathematics/high-school/rc7dq2i6xm80mlbg3zjowq3l8b2welygz5.png)
For 7/30,
Since the denominator 30, we get same fraction,
![(7)/(30)=(7)/(30)](https://img.qammunity.org/2023/formulas/mathematics/high-school/9lt5reo3f6ungo40yetjpxijdq2gf9ob8e.png)
Answer is:
![(1)/(3)=(10)/(30)](https://img.qammunity.org/2023/formulas/mathematics/high-school/4dh2p2fkloll2zlf9x43ybtxrgpfzz8vso.png)
![(5)/(10)=(15)/(30)](https://img.qammunity.org/2023/formulas/mathematics/high-school/rc7dq2i6xm80mlbg3zjowq3l8b2welygz5.png)
![(7)/(30)=(7)/(30)](https://img.qammunity.org/2023/formulas/mathematics/high-school/9lt5reo3f6ungo40yetjpxijdq2gf9ob8e.png)