Determine if 2.510=?1248

or 2.52=?1224
is a proportion.(1 point)
Responses

2.510=1248
Start Fraction 2.5 over 10 End Fraction equals Start Fraction 12 over 48 End Fraction

Both are proportions.
Both are proportions.

2.52=1224
Start Fraction 2.5 over 2 End Fraction equals Start Fraction 12 over 24 End Fraction

Neither is a proportion.

1 answer

To determine whether \( \frac{2.5}{10} = \frac{12}{48} \) and \( \frac{2.52}{2} = \frac{12}{24} \) are proportions, we need to compare the fractions.

  1. For \( \frac{2.5}{10} \) and \( \frac{12}{48} \):

    • Calculate \( \frac{2.5}{10} = 0.25 \).
    • Calculate \( \frac{12}{48} = 0.25 \).
    • Since both sides are equal, \( \frac{2.5}{10} = \frac{12}{48} \) is indeed a proportion.
  2. For \( \frac{2.52}{2} \) and \( \frac{12}{24} \):

    • Calculate \( \frac{2.52}{2} = 1.26 \).
    • Calculate \( \frac{12}{24} = 0.5 \).
    • Since \( 1.26 \neq 0.5 \), \( \frac{2.52}{2} \neq \frac{12}{24} \) is not a proportion.

So, the correct response is:

  • \( \frac{2.5}{10} = \frac{12}{48} \) is a proportion.
  • \( \frac{2.52}{2} = \frac{12}{24} \) is not a proportion.

Thus, the answer is: Neither is a proportion.