convert each of the following fractions into a per centage : (1) `47/100`
(2) `9/20 `
(3) `3/8`
(4) `8/125`
(5) `19/500`
(6) `4/15`
(7) `2/3`
(8) `1.3//5`

Answer

To convert each of the given fractions into percentages, we will follow a systematic approach. The general formula to convert a fraction \( \frac{x}{y} \) into a percentage is:

\[ \text{Percentage} = \left( \frac{x}{y} \right) \times 100 \]

Now, let's solve each fraction step by step.

### Step 1: Convert \( \frac{47}{100} \) into percentage
\[ \text{Percentage} = \left( \frac{47}{100} \right) \times 100 = 47\% \]

### Step 2: Convert \( \frac{9}{20} \) into percentage
\[ \text{Percentage} = \left( \frac{9}{20} \right) \times 100 = \frac{9 \times 100}{20} = \frac{900}{20} = 45\% \]

### Step 3: Convert \( \frac{3}{8} \) into percentage
\[ \text{Percentage} = \left( \frac{3}{8} \right) \times 100 = \frac{3 \times 100}{8} = \frac{300}{8} = 37.5\% \]

### Step 4: Convert \( \frac{8}{125} \) into percentage
\[ \text{Percentage} = \left( \frac{8}{125} \right) \times 100 = \frac{8 \times 100}{125} = \frac{800}{125} = 6.4\% \]

### Step 5: Convert \( \frac{19}{500} \) into percentage
\[ \text{Percentage} = \left( \frac{19}{500} \right) \times 100 = \frac{19 \times 100}{500} = \frac{1900}{500} = 3.8\% \]

### Step 6: Convert \( \frac{4}{15} \) into percentage
\[ \text{Percentage} = \left( \frac{4}{15} \right) \times 100 = \frac{4 \times 100}{15} = \frac{400}{15} \approx 26.67\% \]

### Step 7: Convert \( \frac{2}{3} \) into percentage
\[ \text{Percentage} = \left( \frac{2}{3} \right) \times 100 = \frac{2 \times 100}{3} = \frac{200}{3} \approx 66.67\% \]

### Step 8: Convert \( 1.3 \) into percentage
\[ \text{Percentage} = 1.3 \times 100 = 130\% \]

### Summary of Results:
1. \( \frac{47}{100} = 47\% \)
2. \( \frac{9}{20} = 45\% \)
3. \( \frac{3}{8} = 37.5\% \)
4. \( \frac{8}{125} = 6.4\% \)
5. \( \frac{19}{500} = 3.8\% \)
6. \( \frac{4}{15} \approx 26.67\% \)
7. \( \frac{2}{3} \approx 66.67\% \)
8. \( 1.3 = 130\% \)