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Reduce to simplest form.

-(3)/(4)-(-(1)/(6))=

Reduce to simplest form.\newline34(16)= -\frac{3}{4}-\left(-\frac{1}{6}\right)=

Full solution

Q. Reduce to simplest form.\newline34(16)= -\frac{3}{4}-\left(-\frac{1}{6}\right)=
  1. Identify Operation: Identify the operation to perform on the fractions.\newlineWe need to subtract the second fraction from the first one, but the second fraction has a negative sign in front of it, which means we are actually adding its opposite.
  2. Find Common Denominator: Find a common denominator for the fractions.\newlineThe denominators are 44 and 66, so the least common denominator (LCD) is 1212.
  3. Convert to LCD: Convert each fraction to an equivalent fraction with the LCD as the denominator.\newlineFor the first fraction, multiply both the numerator and the denominator by 33 to get 912-\frac{9}{12}. For the second fraction, multiply both the numerator and the denominator by 22 to get 212\frac{2}{12}.
  4. Perform Addition: Perform the addition of the fractions.\newlineNow that the fractions have the same denominator, we can combine them: 912+212.-\frac{9}{12} + \frac{2}{12}.
  5. Add Numerators: Add the numerators and keep the common denominator.\newlineThe sum of the numerators is 9+2-9 + 2, which equals 7-7. The denominator remains 1212. So the combined fraction is 712-\frac{7}{12}.
  6. Check for Simplification: Check if the fraction can be simplified further.\newlineThe fraction 712-\frac{7}{12} is already in its simplest form because 77 and 1212 have no common factors other than 11.

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