ODE ONE OUT. (10 points) Identify which of the following values does not belong to the group. ENCIRCLE your answer, then indicate the correct answer. Fraction Decimal Percentage
66.67%
2.2 22.2%
0.88 80%
354.55%
53.33%
The Correct Answer and Explanation is:
The row of values that does not belong to the group is the last one:
Fraction: 7/15, Decimal: 0.53 (repeating), Percentage: 53.33%
Explanation
The problem requires identifying which set of values is the “odd one out”. Upon careful analysis of the table, a consistent pattern emerges in the first four rows. In each of these rows, two of the three values presented (fraction, decimal, and percentage) are equivalent representations of the same number, while the third value is incorrect. The final row is the only one that breaks this pattern.
Here is a detailed breakdown of each row:
- Row 1: The decimal 0.6 repeating is equal to 2/3, and the percentage 66.67% is the rounded equivalent of 2/3. The fraction listed, however, is 1/3. Thus, the decimal and percentage match, while the fraction does not.
- Row 2: The fraction 2 1/5 is exactly equal to the decimal 2.2. When converted to a percentage, this value becomes 220%. The percentage listed in the table is 22.2%, which is incorrect. Here, the fraction and the decimal are equivalent.
- Row 3: The fraction 4/5 converts to the decimal 0.8, which is 80% as a percentage. The table correctly lists the percentage as 80% but incorrectly shows the decimal as 0.88. In this case, the fraction and the percentage are equivalent.
- Row 4: The mixed fraction 3 6/11 is equal to the decimal 3.5454…, which is 3.54 repeating. As a percentage, this is 354.54…%, which rounds to 354.55%. The decimal listed, 0.54 repeating, is incorrect because it is missing the whole number 3. The fraction and the percentage in this row are equivalent.
- Row 5: This row is the exception. The fraction 7/15, the decimal 0.53 repeating, and the percentage 53.33% all represent different numerical values. The fraction 7/15 is approximately 0.467. The decimal 0.53 repeating is approximately 0.535. The percentage 53.33% is approximately 0.533. Since none of the values in this row are equivalent, it does not fit the pattern of the other rows and is therefore the one that does not belong to the group.
The correct conversions starting from the fraction 7/15 are:
- Correct Decimal: 0.46 (with the 6 repeating)
- Correct Percentage: 46.67% (rounded) or 46 2/3%
