Question

match the following numbers: $4\frac{1}{4}$, 0.9, 0.5, 2, $\frac{8}{10}$, 0.152 with the appropriate percentages from the given set: 75%, 25%, 42.9%, 200%, 83.3%, 100%, 16.8%, 12%, 156%, 80%, 62.5%, 78%, 6%, 33%, 425%, 12.5%, 0.2%, 3%, 50%, 4%, 90%, 80%, 15.2%, 5%

Explanation:

Step1: Convert \(4\frac{1}{4}\) to percentage

First, convert the mixed number \(4\frac{1}{4}\) to an improper fraction: \(4\frac{1}{4}=\frac{17}{4}\). Then, divide \(17\) by \(4\) to get a decimal: \(\frac{17}{4} = 4.25\). Multiply by \(100\%\) to get the percentage: \(4.25\times100\% = 425\%\).

Step2: Convert \(0.9\) to percentage

Multiply \(0.9\) by \(100\%\): \(0.9\times100\% = 90\%\).

Step3: Convert \(0.5\) to percentage

Multiply \(0.5\) by \(100\%\): \(0.5\times100\% = 50\%\).

Step4: Convert \(2\) to percentage

Multiply \(2\) by \(100\%\): \(2\times100\% = 200\%\).

Step5: Convert \(\frac{8}{10}\) to percentage

First, simplify \(\frac{8}{10}=0.8\). Then multiply by \(100\%\): \(0.8\times100\% = 80\%\).

Step6: Convert \(0.152\) to percentage

Multiply \(0.152\) by \(100\%\): \(0.152\times100\% = 15.2\%\).

Answer:

• \(4\frac{1}{4}\) connects to \(425\%\)
• \(0.9\) connects to \(90\%\)
• \(0.5\) connects to \(50\%\)
• \(2\) connects to \(200\%\)
• \(\frac{8}{10}\) connects to \(80\%\)
• \(0.152\) connects to \(15.2\%\)