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33 Find the sum of \( \frac{2}{100}+\frac{20}{100}+\frac{2}{10} \) Shew yeur work. Solution:

Ask by Barker Chambers. in the United States
Mar 12,2025

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Answer

The sum is \( \frac{21}{50} \) or 0.42.

Solution

Calculate or simplify the expression \( 2/100+20/100+2/10 \). Calculate the value by following steps: - step0: Calculate: \(\frac{2}{100}+\frac{20}{100}+\frac{2}{10}\) - step1: Reduce the fraction: \(\frac{1}{50}+\frac{20}{100}+\frac{2}{10}\) - step2: Reduce the fraction: \(\frac{1}{50}+\frac{1}{5}+\frac{2}{10}\) - step3: Reduce the fraction: \(\frac{1}{50}+\frac{1}{5}+\frac{1}{5}\) - step4: Reduce fractions to a common denominator: \(\frac{1}{50}+\frac{10}{5\times 10}+\frac{10}{5\times 10}\) - step5: Multiply the numbers: \(\frac{1}{50}+\frac{10}{50}+\frac{10}{5\times 10}\) - step6: Multiply the numbers: \(\frac{1}{50}+\frac{10}{50}+\frac{10}{50}\) - step7: Transform the expression: \(\frac{1+10+10}{50}\) - step8: Add the numbers: \(\frac{21}{50}\) The sum of \( \frac{2}{100}+\frac{20}{100}+\frac{2}{10} \) is \( \frac{21}{50} \) or 0.42.

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To solve the sum \( \frac{2}{100}+\frac{20}{100}+\frac{2}{10} \), let's first convert all fractions to have a common denominator. 1. The first fraction is \( \frac{2}{100} \). 2. The second fraction is also \( \frac{20}{100} \). 3. To convert the third fraction, \( \frac{2}{10} \), to a fraction with a denominator of 100, we multiply the numerator and denominator by 10: \[ \frac{2}{10} = \frac{2 \times 10}{10 \times 10} = \frac{20}{100}. \] Now we have: - \( \frac{2}{100} \) - \( \frac{20}{100} \) - \( \frac{20}{100} \) Now we can sum these fractions: \[ \frac{2}{100} + \frac{20}{100} + \frac{20}{100} = \frac{2 + 20 + 20}{100} = \frac{42}{100}. \] Next, we can simplify \( \frac{42}{100} \) by dividing both the numerator and denominator by their greatest common divisor, which is 2: \[ \frac{42 \div 2}{100 \div 2} = \frac{21}{50}. \] So the final answer is: \[ \frac{21}{50}. \]

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