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Find 16.2/3% of 30 15% of ₹140....

Find
`16.2/3`% of 30
`15% of ₹140.

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The correct Answer is:
To solve the problem, we need to find two values: 1. \( 16.2 \frac{2}{3} \% \) of 30 2. \( 15\% \) of ₹140 Let's break down the steps for each part. ### Part 1: Find \( 16.2 \frac{2}{3} \% \) of 30 **Step 1:** Convert \( 16.2 \frac{2}{3} \% \) to an improper fraction. - First, convert \( 16.2 \frac{2}{3} \) to an improper fraction. - \( 16.2 = 16 + \frac{2}{3} = \frac{48}{3} + \frac{2}{3} = \frac{50}{3} \) - Therefore, \( 16.2 \frac{2}{3} \% = \frac{50}{3} \% \) **Hint:** To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. **Step 2:** Convert the percentage to a fraction. - To convert \( \frac{50}{3} \% \) to a fraction, divide by 100. - \( \frac{50}{3} \% = \frac{50}{3} \times \frac{1}{100} = \frac{50}{300} = \frac{1}{6} \) **Hint:** Remember that to convert a percentage to a fraction, you divide by 100. **Step 3:** Calculate \( \frac{1}{6} \) of 30. - To find \( \frac{1}{6} \) of 30, multiply: - \( \frac{1}{6} \times 30 = 5 \) **Hint:** To find a fraction of a number, multiply the fraction by that number. ### Part 2: Find \( 15\% \) of ₹140 **Step 1:** Convert \( 15\% \) to a fraction. - \( 15\% = \frac{15}{100} = \frac{3}{20} \) **Hint:** To convert a percentage to a fraction, divide the percentage by 100 and simplify if possible. **Step 2:** Calculate \( \frac{3}{20} \) of ₹140. - To find \( \frac{3}{20} \) of ₹140, multiply: - \( \frac{3}{20} \times 140 = \frac{3 \times 140}{20} = \frac{420}{20} = 21 \) **Hint:** When multiplying a fraction by a whole number, multiply the numerator by the whole number and divide by the denominator. ### Final Results: 1. \( 16.2 \frac{2}{3} \% \) of 30 = 5 2. \( 15\% \) of ₹140 = 21
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