Select the%C2%A0two%C2%A0fractions that are equivalent to%C2%A0 35 . %C2%A0 NOTE:%C2%A0In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question. (2 points) Responses 310 3 tenths 512 5 over 12 2135 21 over 35 1525

Question

Select the%C2%A0two%C2%A0fractions that are equivalent to%C2%A0 35  .  %C2%A0  NOTE:%C2%A0In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.  (2 points) Responses  310 3 tenths  512 5 over 12  2135 21 over 35  1525

GPT-4o mini · Answer

To find two fractions that are equivalent to \( \frac{35}{100} \) (which is the decimal equivalent of 35%), we can simplify this fraction.

The fraction \( \frac{35}{100} \) can be simplified by dividing the numerator and denominator by their greatest common divisor (GCD), which is 5.

\[ \frac{35 \div 5}{100 \div 5} = \frac{7}{20} \]

Now, let's analyze the given options for equivalence:

\( \frac{3}{10} \):
- Cross-multiply to check: \[ 3 \times 20 = 60 \quad \text{and} \quad 10 \times 7 = 70 \quad \text{(not equivalent)} \]
\( \frac{5}{12} \):
- Cross-multiply to check: \[ 5 \times 20 = 100 \quad \text{and} \quad 12 \times 7 = 84 \quad \text{(not equivalent)} \]
\( \frac{21}{35} \):
- This fraction can be simplified:
- GCD of 21 and 35 is 7. \[ \frac{21 \div 7}{35 \div 7} = \frac{3}{5} \]
- Check for equivalency with \( \frac{35}{100} \): \[ 21 \times 100 = 2100 \quad \text{and} \quad 35 \times 12 = 420 \quad \text{(not equivalent)} \]
\( \frac{15}{25} \):
- Simplifying gives:
- GCD of 15 and 25 is 5. \[ \frac{15 \div 5}{25 \div 5} = \frac{3}{5} \]
- Check for equivalency with \( \frac{35}{100} \): \[ 15 \times 100 = 1500 \quad \text{and} \quad 25 \times 60 = 1500 \quad \text{(equivalent)} \]

Given these analyses, the correct equivalent fractions to \( 35% \) or \( \frac{35}{100} \) are:

None of the options provided are equivalent to \( \frac{35}{100} \) based on this simplification.

To summarize, you will need to review your selections as it appears none of these fractions are indeed equivalent to 35%. Would you like to check again with a focus on fractional forms that actually match \( 35% \)?