Determine if 2.5/10 =? 12/48 or 2.5/2=?12/24 is a proportion.(1 point)
Responses
2.5/2=12/24
Both are proportions.
2.5/10=12/48
Neither is a proportion.
A proportion is a statement that two ratios are equal to each other. In order for this to be true, the numerator divided by the denominator of the left side ratio should be equal to the numerator divided by the denominator of the right side ratio.
For the first statement, 2.5/2 = 1.25 and 12/24 = 0.5. Since 1.25 does not equal 0.5, the first statement is not a proportion.
For the second statement, 2.5/10 = 0.25 and 12/48 = 0.25. Since 0.25 equals 0.25, the second statement is a proportion.
Therefore, only the second statement, 2.5/10 = 12/48, is a proportion.
To determine if 2.5/10 = 12/48 or 2.5/2 = 12/24 is a proportion, we need to compare the ratios.
For 2.5/2 = 12/24:
- Convert both fractions to decimals: 2.5/2 = 1.25 and 12/24 = 0.5
- The decimal values are not equal, so 2.5/2 = 12/24 is not a proportion.
For 2.5/10 = 12/48:
- Simplify the fractions: 2.5/10 = 1/4 and 12/48 = 1/4
- Both fractions simplify to 1/4, which means 2.5/10 = 12/48 is a proportion.
Therefore, out of the two options given, only 2.5/10 = 12/48 is a proportion.