determine if 2.5/10 = 12/48 or 2.5/2 = 12/24

Answer 1

To determine if the two equations \( \frac{2.5}{10} = \frac{12}{48} \) and \( \frac{2.5}{2} = \frac{12}{24} \) are true, we can simplify both fractions.

First Equation: \( \frac{2.5}{10} = \frac{12}{48} \)

1. Simplifying \( \frac{2.5}{10} \): \[ \frac{2.5}{10} = \frac{25}{100} = 0.25 \]

2. Simplifying \( \frac{12}{48} \): \[ \frac{12}{48} = \frac{1}{4} = 0.25 \]

Thus, \( \frac{2.5}{10} = \frac{12}{48} = 0.25 \).

Second Equation: \( \frac{2.5}{2} = \frac{12}{24} \)

1. Simplifying \( \frac{2.5}{2} \): \[ \frac{2.5}{2} = 1.25 \]

2. Simplifying \( \frac{12}{24} \): \[ \frac{12}{24} = \frac{1}{2} = 0.5 \]

Thus, \( \frac{2.5}{2} \neq \frac{12}{24} \).

Conclusion

The first equation \( \frac{2.5}{10} = \frac{12}{48} \) is true, while the second equation \( \frac{2.5}{2} = \frac{12}{24} \) is false.