Select the two fractions that are equivalent to 35 . NOTE: In 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)Responses5125 over 12152515 over 253103 tenths2135

1 answer

To find fractions equivalent to 35, we can express it as a fraction over 1 and then find equivalent fractions by multiplying both the numerator and the denominator by the same number.

First, let's express 35 as a fraction:

\[ 35 = \frac{35}{1} \]

To create equivalent fractions, we can multiply both the numerator and denominator by the same number. For example:

  1. Multiply by 2: \[ \frac{35 \times 2}{1 \times 2} = \frac{70}{2} \]

  2. Multiply by 5: \[ \frac{35 \times 5}{1 \times 5} = \frac{175}{5} \]

  3. Multiply by 3: \[ \frac{35 \times 3}{1 \times 3} = \frac{105}{3} \]

  4. More simply, fractions can have equivalents like: \[ \frac{70}{2}, \frac{105}{3}, \frac{140}{4}, \text{ etc. } \]

Now, let’s evaluate the provided options:

  1. \( \frac{5125}{12} \)
  2. \( \frac{152515}{25} \)
  3. \( \frac{103}{10} \)
  4. \( \frac{2135}{1} \)

Upon checking for equivalence:

  1. \( \frac{5125}{12} \): This does not equal 35.
  2. \( \frac{152515}{25} \): Find out by simplifying or calculating: \( 152515 ÷ 25 = 6100.6 \) (not equivalent).
  3. \( \frac{103}{10} \): This simplifies to 10.3 (not equal).
  4. \( \frac{2135}{1} = 35 \).

Thus, options that directly represent 35 or its equivalent:

  • \( \frac{2135}{1} = 35 \)

To conclude if any of the other fractions can yield equivalent results through simplification, estimates from the entire choices point out only \( \frac{2135}{1} \) holds valid as an exact equal.

Please check your options to select the two fractions correctly equivalent to 35. Only 2135 is an equivalent fraction from the list provided directly.