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10. Explain how to find the sum of \( \frac{9}{100}+\frac{7}{10} \).

Ask by Joseph Delgado. in the United States
Feb 26,2025

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Answer

To add 9/100 and 7/10, convert 7/10 to 70/100 and then add the numerators: 9 + 70 = 79. So, the sum is 79/100.

Solution

To add 9/100 and 7/10, follow these steps: 1. Identify the denominators: one fraction has a denominator of 100 and the other has 10. 2. Find a common denominator: Since 100 is a multiple of 10, you can use 100 as the common denominator. 3. Convert 7/10 to an equivalent fraction with a denominator of 100:   Multiply both numerator and denominator by 10, so 7/10 becomes (7×10)/(10×10) = 70/100. 4. Now add the fractions:   9/100 + 70/100 = (9 + 70)/100 = 79/100. Therefore, the sum of 9/100 and 7/10 is 79/100.

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The Deep Dive

To find the sum of \( \frac{9}{100}+\frac{7}{10} \), first, you need a common denominator. Since \( 10 \) can be expressed as \( \frac{10}{100} \), you can rewrite \( \frac{7}{10} \) as \( \frac{70}{100} \). Now you have \( \frac{9}{100} + \frac{70}{100} = \frac{79}{100} \). So, the sum is \( \frac{79}{100} \) or \( 0.79 \) in decimal form! One trick to remember is that when adding fractions, always look for that common denominator first! It's a key step to making things easier and preventing mistakes. A common pitfall is skipping this step and trying to add fractions with different denominators directly—trust me, your future self will thank you for taking the time to find that common ground!

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