Determine if 2.510=?1248

Question

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

Neither is a proportion.
Neither is a proportion.

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

2.510=1248

Answer 1

To determine if the two expressions form a proportion, we need to check if the two fractions are equivalent.

1. First Expression: \[ \frac{2.5}{10} \quad \text{and} \quad \frac{12}{48} \]

   Simplifying \(\frac{12}{48}\): \[ \frac{12}{48} = \frac{1}{4} \quad (\text{dividing both the numerator and the denominator by 12}) \]

   Now, simplifying \(\frac{2.5}{10}\): \[ \frac{2.5}{10} = \frac{25}{100} = \frac{1}{4} \quad (\text{dividing both the numerator and the denominator by 25}) \]

   Since both \(\frac{2.5}{10}\) and \(\frac{12}{48}\) simplify to \(\frac{1}{4}\), the first expression forms a proportion.

2. Second Expression: \[ \frac{2.52}{2} \quad \text{and} \quad \frac{12}{24} \]

   Simplifying \(\frac{12}{24}\): \[ \frac{12}{24} = \frac{1}{2} \quad (\text{dividing both the numerator and the denominator by 12}) \]

   Now, simplifying \(\frac{2.52}{2}\): \[ \frac{2.52}{2} = 1.26 \]

   Comparing \(\frac{2.52}{2}\) with \(\frac{12}{24}\), we find: \[ 1.26 \neq 0.5 \]

   Thus, the second expression does not form a proportion.

Final conclusion:

• The first expression \( 2.510=1248 \) is a proportion.
• The second expression \( 2.52=1224 \) is not a proportion.

Therefore, the answer is: Neither is a proportion.