ANSWER
5/10 and 4/10
Step-by-step explanation
We want to enter fractions given as a pair of fractions that have the same denominator.
The fractions given are:
1/2 and 2/5
To do that, we have to first find the lowest common multiple of the two denominators.
The denominators are:
2 and 5
Their lowest common denominator is 10, since it is the smallest number which is divisible by both numbers.
To put the first fraction in terms of a denominator of 10, we have to multiply the numerator and denominator by 5.
That is:
![\frac{1\cdot\text{ 5}}{2\cdot\text{ 5}}\text{ = }(5)/(10)](https://img.qammunity.org/2023/formulas/mathematics/high-school/ctubcw301pog1aau05ot32363b4gk5brn6.png)
To put the second fraction in terms of a denominator of 10, we multiply the numberator and denominator by 2.
That is:
![\frac{2\cdot\text{ 2}}{5\cdot\text{ 2}}\text{ = }(4)/(10)](https://img.qammunity.org/2023/formulas/mathematics/high-school/n4ojbmegb55k23wrnr1d79r7ullsihvv4a.png)
Therefore, the two fractions in terms of a common denominator are 5/10 and 4/10.