Question
Select all the common denominators for 1/4 and 7/10 10 20 24 32 40
Answers
GPT-4o mini
To find the common denominators for the fractions \( \frac{1}{4} \) and \( \frac{7}{10} \), we first determine the least common multiple (LCM) of the two denominators (4 and 10).
The multiples of the denominators are as follows:
- Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
- Multiples of 10: 10, 20, 30, 40, ...
The smallest common multiple of both lists is 20.
Thus, the common denominators for \( \frac{1}{4} \) and \( \frac{7}{10} \) are all the multiples of 20:
- 20, 40, ...
Looking at the numbers you provided: 10, 20, 24, 32, 40,
The common denominators from these numbers are **20 and 40**.
The multiples of the denominators are as follows:
- Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
- Multiples of 10: 10, 20, 30, 40, ...
The smallest common multiple of both lists is 20.
Thus, the common denominators for \( \frac{1}{4} \) and \( \frac{7}{10} \) are all the multiples of 20:
- 20, 40, ...
Looking at the numbers you provided: 10, 20, 24, 32, 40,
The common denominators from these numbers are **20 and 40**.