Identify the missing like denominator in the subtraction expression 3/5−1/?

.(1 point)

1 answer

To find the missing denominator in the expression \( \frac{3}{5} - \frac{1}{?} \), we first need the fractions to have a common denominator. The denominator of the first fraction is 5, so we want to find a value for \( ? \) that allows us to subtract the fractions easily.

Let’s denote the missing denominator as \( d \). For the subtraction \( \frac{3}{5} - \frac{1}{d} \) to be valid, we can express \( \frac{1}{d} \) with the same denominator as \( \frac{3}{5} \):

  1. Find a common denominator, which is the least common multiple (LCM) of 5 and \( d \).

For the simplest case, if we want \( d \) to equal 5 (so both fractions have the same denominator), we have:

\[ \frac{3}{5} - \frac{1}{5} = \frac{3 - 1}{5} = \frac{2}{5} \]

Thus, \( d \) could be 5 to keep the subtraction straightforward.

However, if you want a different approach, you can choose any positive integer for \( d \) as long as it results in valid fractions (numerator split).

In conclusion, the simplest missing denominator could be:

\( ? = 5 \)

If you are looking for other possible denominators, it could be any positive integer value for \( ? \).