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match the following: \\(\\frac{5}{5}\\), \\(\\frac{5}{8}\\), 0.04, 0.78…

Question

match the following: \\(\frac{5}{5}\\), \\(\frac{5}{8}\\), 0.04, 0.78, \\(\frac{1}{3}\\), \\(\frac{1}{500}\\) with the appropriate percentages from the given set: 90%, 12.5%, 4%, 100%, 80%, 6%, 3%, 12%, 425%, 42.9%, 33%, 25%, 15.2%, 200%, 83.3%, 80%, 5%, 75%, 0.2%, 62.5%, 156%, 16.8%, 78%, 50%.

Explanation:

Step1: Convert $\frac{5}{5}$ to percentage

$\frac{5}{5} = 1$, and $1\times100\% = 100\%$

Step2: Convert $\frac{5}{8}$ to percentage

$\frac{5}{8}=5\div8 = 0.625$, and $0.625\times100\% = 62.5\%$

Step3: Convert $0.04$ to percentage

$0.04\times100\% = 4\%$

Step4: Convert $0.78$ to percentage

$0.78\times100\% = 78\%$

Step5: Convert $\frac{1}{3}$ to percentage

$\frac{1}{3}\approx0.333$, and $0.333\times100\% \approx 33.3\%$ (close to 33%)

Step6: Convert $\frac{1}{500}$ to percentage

$\frac{1}{500}=1\div500 = 0.002$, and $0.002\times100\% = 0.2\%$

Answer:

  • $\frac{5}{5}$ connects to $100\%$
  • $\frac{5}{8}$ connects to $62.5\%$
  • $0.04$ connects to $4\%$
  • $0.78$ connects to $78\%$
  • $\frac{1}{3}$ connects to $33\%$ (or $33.3\%$)
  • $\frac{1}{500}$ connects to $0.2\%$