Question
Which is a common denominator of 1/4 and 3/5?
Answers
GPT-4o mini
To find a common denominator for the fractions \( \frac{1}{4} \) and \( \frac{3}{5} \), we need to look for the least common multiple (LCM) of the denominators 4 and 5.
The factors of 4 are: \( 1, 2, 4 \)
The factors of 5 are: \( 1, 5 \)
Now we list the multiples of each denominator:
- Multiples of 4: \( 4, 8, 12, 16, 20, 24, \ldots \)
- Multiples of 5: \( 5, 10, 15, 20, 25, 30, \ldots \)
The smallest common multiple is 20.
Thus, a common denominator of \( \frac{1}{4} \) and \( \frac{3}{5} \) is **20**.
The factors of 4 are: \( 1, 2, 4 \)
The factors of 5 are: \( 1, 5 \)
Now we list the multiples of each denominator:
- Multiples of 4: \( 4, 8, 12, 16, 20, 24, \ldots \)
- Multiples of 5: \( 5, 10, 15, 20, 25, 30, \ldots \)
The smallest common multiple is 20.
Thus, a common denominator of \( \frac{1}{4} \) and \( \frac{3}{5} \) is **20**.