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What should be substracted from -3/5 to ...

What should be substracted from `-3/5` to get `7/10` ?

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To solve the problem of what should be subtracted from \(-\frac{3}{5}\) to get \(\frac{7}{10}\), we can follow these steps: ### Step 1: Set up the equation Let \(x\) be the number that we need to subtract from \(-\frac{3}{5}\). The equation can be set up as follows: \[ -\frac{3}{5} - x = \frac{7}{10} \] ### Step 2: Rearrange the equation To find \(x\), we can rearrange the equation: \[ -x = \frac{7}{10} + \frac{3}{5} \] ### Step 3: Find a common denominator To add the fractions on the right side, we need a common denominator. The denominators are 10 and 5. The least common multiple (LCM) of 10 and 5 is 10. We can convert \(-\frac{3}{5}\) to a fraction with a denominator of 10: \[ -\frac{3}{5} = -\frac{3 \times 2}{5 \times 2} = -\frac{6}{10} \] ### Step 4: Add the fractions Now we can add the fractions: \[ -x = \frac{7}{10} - \frac{6}{10} = \frac{1}{10} \] ### Step 5: Solve for \(x\) Now, we can solve for \(x\) by multiplying both sides by -1: \[ x = -\frac{1}{10} \] ### Conclusion Thus, the number that should be subtracted from \(-\frac{3}{5}\) to get \(\frac{7}{10}\) is: \[ \boxed{-\frac{1}{10}} \]
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