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What should be substracted from `-3/4` to get `-5/6` ?

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To solve the problem of what should be subtracted from \(-\frac{3}{4}\) to get \(-\frac{5}{6}\), we can follow these steps: ### Step 1: Set up the equation Let \(x\) be the number that we need to subtract from \(-\frac{3}{4}\). The equation can be set up as: \[ -\frac{3}{4} - x = -\frac{5}{6} \] ### Step 2: Rearrange the equation To isolate \(x\), we can rearrange the equation: \[ -x = -\frac{5}{6} + \frac{3}{4} \] ### Step 3: Simplify the right side Now we need to find a common denominator to add the fractions \(-\frac{5}{6}\) and \(\frac{3}{4}\). The least common multiple of 6 and 4 is 12. We convert both fractions: \[ -\frac{5}{6} = -\frac{10}{12} \quad \text{(multiplying numerator and denominator by 2)} \] \[ \frac{3}{4} = \frac{9}{12} \quad \text{(multiplying numerator and denominator by 3)} \] Now substituting these values back into the equation: \[ -x = -\frac{10}{12} + \frac{9}{12} \] ### Step 4: Combine the fractions Now we can combine the fractions: \[ -x = \frac{-10 + 9}{12} = \frac{-1}{12} \] ### Step 5: Solve for \(x\) To find \(x\), we multiply both sides by -1: \[ x = \frac{1}{12} \] ### Final Answer Thus, the number that should be subtracted from \(-\frac{3}{4}\) to get \(-\frac{5}{6}\) is: \[ \boxed{\frac{1}{12}} \]
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