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ANSWER

5/10 and 4/10

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:

[tex]\frac{1\cdot\text{ 5}}{2\cdot\text{ 5}}\text{ = }\frac{5}{10}[/tex]

To put the second fraction in terms of a denominator of 10, we multiply the numberator and denominator by 2.

That is:

[tex]\frac{2\cdot\text{ 2}}{5\cdot\text{ 2}}\text{ = }\frac{4}{10}[/tex]

Therefore, the two fractions in terms of a common denominator are 5/10 and 4/10.