Identify the missing like denominator in the subtraction expression 3/5 - 1/?.
(1 point)
The missing like denominator in the subtraction expression 3/5 - 1/? is 5.
To identify the missing like denominator in the subtraction expression 3/5 - 1/?, we need to find a common denominator for both fractions. Let's start by listing the multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, ... Now let's list the multiples of the unknown denominator: ?, 2?, 3?, 4?, 5?, 6?, 7?, 8?, ... We can see that the common denominator needs to be a multiple of both 5 and the unknown denominator. Since we don't have any information about the unknown denominator, it could be any value that is a multiple of 5. Therefore, the missing like denominator could be any multiple of 5.
To identify the missing common denominator in the subtraction expression 3/5 - 1/?, you need to find a number that both 5 and the denominator in the second fraction can divide evenly.
To do this, you can start by listing the multiples of 5: 5, 10, 15, 20, 25, 30, ...
Then, you can compare these multiples to the denominator in the second fraction to see if any of the multiples are divisible by it.
Let's say the denominator in the second fraction is a and go through an example using the multiples of 5.
For instance, if the denominator a is 2, you would check if any of the numbers in the list of multiples of 5 are divisible by 2:
- 5 ÷ 2 = not divisible
- 10 ÷ 2 = divisible
- 15 ÷ 2 = not divisible
- 20 ÷ 2 = divisible
- 25 ÷ 2 = not divisible
- 30 ÷ 2 = divisible
From this example, you can see that out of the multiples of 5, 10, 20, and 30 are divisible by 2. Therefore, the common denominator that would make both 5 and 2 divide evenly is 10.