Question

Select the three fractions that are equivalent to 3/5
.(3 points)
Responses

810
8 tenths

1220
12 over 20

3050
30 over 50

2135
21 over 35

1215

Answer 1

To find three fractions that are equivalent to \( \frac{3}{5} \), we can cross-multiply and check equivalency or simplify the fractions.

1. **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 \( \frac{3}{5} \).

2. **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.

3. **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.

4. **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.

5. **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:** \( \frac{12}{20}, \frac{30}{50}, \frac{21}{35} \)