determine if 2.5/10=12/48 or 2.5/2=12/24 is a proportion

Answer 1

To determine if 2.5/10 = 12/48 or 2.5/2 = 12/24 is a proportion, we need to check if the two fractions have equivalent ratios.

For the first equation:

2.5/10 = 12/48

To simplify the fractions, we can multiply both the numerator and denominator of the second fraction by 5:

2.5/10 = (12 * 5) / (48 * 5)
= 60/240

Simplifying the fraction by dividing numerator and denominator by 10:

(60/10) / (240/10)
= 6/24
= 1/4

So, the first equation does hold true as a proportion.

For the second equation:

2.5/2 = 12/24

To simplify the fractions, we can multiply the numerator and denominator of the first fraction by 24:

(2.5 * 24) / (2 * 24)
= 60 / 48

Simplifying the fraction by dividing numerator and denominator by their greatest common divisor, which is 12:

(60/12) / (48/12)
= 5/4

So, the second equation also holds true as a proportion.

Both equations are valid proportions.