Question
fractions equivalent to 15:6
Answers
GPT-4o mini
To find fractions equivalent to \( 15:6 \), you can first simplify the ratio \( 15:6 \).
To do this, divide both numbers by their greatest common divisor (GCD), which is 3:
\[
\frac{15}{3} : \frac{6}{3} = 5 : 2
\]
This means that \( 15:6 \) simplifies to \( 5:2 \).
Now, to find equivalent fractions, you can multiply both sides of the simplified ratio \( 5:2 \) by the same positive integer. Here are a few examples:
- Multiply by 1: \( 5 \times 1 : 2 \times 1 = 5 : 2 \)
- Multiply by 2: \( 5 \times 2 : 2 \times 2 = 10 : 4 \)
- Multiply by 3: \( 5 \times 3 : 2 \times 3 = 15 : 6 \)
- Multiply by 4: \( 5 \times 4 : 2 \times 4 = 20 : 8 \)
- Multiply by 5: \( 5 \times 5 : 2 \times 5 = 25 : 10 \)
Thus, some fractions equivalent to \( 15:6 \) or \( 5:2 \) are:
- \( 10:4 \)
- \( 15:6 \)
- \( 20:8 \)
- \( 25:10 \)
These all represent the same proportion.
To do this, divide both numbers by their greatest common divisor (GCD), which is 3:
\[
\frac{15}{3} : \frac{6}{3} = 5 : 2
\]
This means that \( 15:6 \) simplifies to \( 5:2 \).
Now, to find equivalent fractions, you can multiply both sides of the simplified ratio \( 5:2 \) by the same positive integer. Here are a few examples:
- Multiply by 1: \( 5 \times 1 : 2 \times 1 = 5 : 2 \)
- Multiply by 2: \( 5 \times 2 : 2 \times 2 = 10 : 4 \)
- Multiply by 3: \( 5 \times 3 : 2 \times 3 = 15 : 6 \)
- Multiply by 4: \( 5 \times 4 : 2 \times 4 = 20 : 8 \)
- Multiply by 5: \( 5 \times 5 : 2 \times 5 = 25 : 10 \)
Thus, some fractions equivalent to \( 15:6 \) or \( 5:2 \) are:
- \( 10:4 \)
- \( 15:6 \)
- \( 20:8 \)
- \( 25:10 \)
These all represent the same proportion.