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Find the difference: 9/(10)-3/(5)...

Find the difference:
`9/(10)-3/(5)`

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To find the difference between \( \frac{9}{10} \) and \( \frac{3}{5} \), we can follow these steps: ### Step 1: Identify the fractions We have two fractions: - \( \frac{9}{10} \) - \( \frac{3}{5} \) ### Step 2: Find the Least Common Multiple (LCM) To subtract these fractions, we need a common denominator. The denominators are 10 and 5. The LCM of 10 and 5 is 10. ### Step 3: Convert the fractions to have the same denominator - The first fraction \( \frac{9}{10} \) already has the denominator of 10. - For the second fraction \( \frac{3}{5} \), we need to convert it to have a denominator of 10. To do this, we multiply both the numerator and the denominator of \( \frac{3}{5} \) by 2: \[ \frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10} \] ### Step 4: Subtract the fractions Now we can subtract the two fractions: \[ \frac{9}{10} - \frac{6}{10} = \frac{9 - 6}{10} = \frac{3}{10} \] ### Step 5: Write the final answer The difference \( \frac{9}{10} - \frac{3}{5} \) is: \[ \frac{3}{10} \] ---
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