Question

1. identify the group that does not contain equivalent fractions, decimals and percents.

a. 3/10, 0.3, 30%
b. 5/16, 0.3125, 31.25%
c. 17/100, 0.17, 1.7%
d. 13/26, 0.5, 50%

Explanation:

Step1: Analyze Option a

Convert fraction to decimal: $\frac{3}{10}=0.3$. Convert decimal to percent: $0.3\times100\% = 30\%$. So they are equivalent.

Step2: Analyze Option b

Convert fraction to decimal: $\frac{5}{16}=5\div16 = 0.3125$. Convert decimal to percent: $0.3125\times100\%=31.25\%$. So they are equivalent.

Step3: Analyze Option c

Convert fraction to decimal: $\frac{17}{100}=0.17$. Convert decimal to percent: $0.17\times100\% = 17\%$, not $1.7\%$. So they are not equivalent.

Step4: Analyze Option d

Simplify fraction: $\frac{13}{26}=\frac{1}{2}=0.5$. Convert decimal to percent: $0.5\times100\% = 50\%$. So they are equivalent.

Answer:

c. 17/100, 0.17, 1.7%