To find three fractions that are equivalent to \( \frac{3}{5} \), we can cross-multiply and check equivalency or simplify the fractions.
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For \( \frac{8}{10} \):
To check if \( \frac{3}{5} = \frac{8}{10} \), we can simplify \( \frac{8}{10} \) by dividing the numerator and denominator by 2: \[ \frac{8 \div 2}{10 \div 2} = \frac{4}{5} \] This does not equal \( \frac{3}{5} \). -
For \( \frac{12}{20} \):
To check if \( \frac{3}{5} = \frac{12}{20} \), we simplify \( \frac{12}{20} \): \[ \frac{12 \div 4}{20 \div 4} = \frac{3}{5} \] This is equivalent. -
For \( \frac{30}{50} \):
To check if \( \frac{3}{5} = \frac{30}{50} \), we simplify \( \frac{30}{50} \): \[ \frac{30 \div 10}{50 \div 10} = \frac{3}{5} \] This is equivalent. -
For \( \frac{21}{35} \):
To check if \( \frac{3}{5} = \frac{21}{35} \), we simplify \( \frac{21}{35} \): \[ \frac{21 \div 7}{35 \div 7} = \frac{3}{5} \] This is equivalent. -
For \( \frac{12}{15} \):
To check if \( \frac{3}{5} = \frac{12}{15} \), we simplify \( \frac{12}{15} \): \[ \frac{12 \div 3}{15 \div 3} = \frac{4}{5} \] This does not equal \( \frac{3}{5} \).
The equivalent fractions to \( \frac{3}{5} \) from the options are:
- \( \frac{12}{20} \)
- \( \frac{30}{50} \)
- \( \frac{21}{35} \)
Final Answer: \( \frac{12}{20}, \frac{30}{50}, \frac{21}{35} \)