Final answer:
To create a fraction equivalent to 25% using two digit cards, we can choose the cards with the numbers 1 and 4 to create the fraction 1/4, which is the same as 25% or 0.25 in decimal form.
Step-by-step explanation:
The student's question involves creating a fraction using two digit cards that is equivalent to 25%. To understand this problem, we should recognize that 25% is the same as the fraction ⅔ when expressed with a denominator of 100. This is because percentages are a way of expressing fractions where the denominator is 100, meaning 25% is equal to 25/100, which simplifies to ⅔.
To find two digits from the provided cards (1, 2, 3, 4, 5) that can form a fraction equivalent to ⅔, we can use the concept that equivalent fractions are created by multiplying or dividing the numerator and denominator by the same number. Here the simplest fraction equivalent to 25% (or ⅔) that can be created using the available digit cards without simplification is 1/4, as this is already in its simplest form.
This task can also serve to reinforce the understanding of calculating percents and the relationship between fractions, decimals, and percentages. Remember, to verify if the fraction is correct, you can convert it back into a percentage by multiplying the numerator by 100 and then dividing by the denominator. If the result is 25, the fraction is indeed equivalent to 25%.