Sure, let's go through the steps to find two equivalent rational numbers for [tex]\(\frac{3}{5}\)[/tex].
To find equivalent rational numbers, we can multiply the numerator (the top number) and the denominator (the bottom number) by the same non-zero number.
### Finding Equivalent Rational Number 1
1. Choose a number to multiply by: Let's choose 2.
2. Multiply the numerator and the denominator by this number:
- Numerator: [tex]\(3 \times 2 = 6\)[/tex]
- Denominator: [tex]\(5 \times 2 = 10\)[/tex]
So, the first equivalent rational number is [tex]\(\frac{6}{10}\)[/tex].
### Finding Equivalent Rational Number 2
1. Choose another number to multiply by: Let's choose 3.
2. Multiply the numerator and the denominator by this number:
- Numerator: [tex]\(3 \times 3 = 9\)[/tex]
- Denominator: [tex]\(5 \times 3 = 15\)[/tex]
So, the second equivalent rational number is [tex]\(\frac{9}{15}\)[/tex].
### Conclusion
The two equivalent rational numbers to [tex]\(\frac{3}{5}\)[/tex] are:
1. [tex]\(\frac{6}{10}\)[/tex]
2. [tex]\(\frac{9}{15}\)[/tex]
