Select the three fractions that are equivalent to 35

To determine which fractions are equivalent to \( \frac{35}{1} \), we can simplify or convert each fraction to see if they equal 35. Let's analyze the options:

1. \( \frac{8}{10} \)

   • Simplify: \( \frac{8 \div 2}{10 \div 2} = \frac{4}{5} \)
   • Not equivalent to \( 35 \).

2. \( \frac{30}{50} \)

   • Simplify: \( \frac{30 \div 10}{50 \div 10} = \frac{3}{5} \)
   • Not equivalent to \( 35 \).

3. \( \frac{21}{35} \)

   • Simplify: \( \frac{21 \div 7}{35 \div 7} = \frac{3}{5} \)
   • Not equivalent to \( 35 \).

4. \( \frac{12}{15} \)

   • Simplify: \( \frac{12 \div 3}{15 \div 3} = \frac{4}{5} \)
   • Not equivalent to \( 35 \).

5. \( \frac{12}{20} \)

   • Simplify: \( \frac{12 \div 4}{20 \div 4} = \frac{3}{5} \)
   • Not equivalent to \( 35 \).

None of the provided fractions are actually equivalent to \( 35 \), since all are significantly smaller than it.

If you meant to compare fractions with \( 35/1 \) directly, you might want to check the fractions again. Alternatively, it seems like we may be looking for answers equal to \( 7 \) or their multiplication with some integers. Please clarify if that is the case.

To determine which fraction among the options provided is closest to \( 35 \) (or \( \frac{35}{1} \)), we can convert each fraction to a decimal or a percentage for easier comparison.

1. \( \frac{8}{10} = 0.8 \)

2. \( \frac{30}{50} = 0.6 \)

3. \( \frac{21}{35} = 0.6 \)

4. \( \frac{12}{15} = 0.8 \)

5. \( \frac{12}{20} = 0.6 \)

To make it easier to see how close these are to \( 35 \):

• \( 35 \) as \( 35/1 \) is \( 35.0 \).

The fractions can be evaluated based on how they correlate to the ratio they provide compared to \( 35 \). However, all the decimals are far from \( 35 \).

If you actually meant to look for fractions that are closer to the number, they are significantly below \( 35 \) and might return the values we measured.

Since none of the given options provide a fraction near \( 35 \), my suggestion for a closer measure would revise those options or provide fractions closer to the numeric value of \( 35 \). If you are looking for the greatest among your options in terms of value:

• \( \frac{8}{10} \) and \( \frac{12}{15} \) both equal \( 0.8 \) are the largest, therefore indicating those are the closest options.