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Reduce to simplest form.

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

Reduce to simplest form.\newline63+(16)= \frac{6}{3}+\left(-\frac{1}{6}\right)=

Full solution

Q. Reduce to simplest form.\newline63+(16)= \frac{6}{3}+\left(-\frac{1}{6}\right)=
  1. Simplify Fraction: Simplify the first fraction by dividing the numerator by the denominator.\newline(6)/(3)=6÷3=2(6)/(3) = 6 \div 3 = 2
  2. Combine Fractions: Combine the simplified first fraction with the second fraction. 2+(16)=2162 + \left(-\frac{1}{6}\right) = 2 - \frac{1}{6}
  3. Convert Whole Number: Convert the whole number to a fraction with the same denominator as the second fraction to combine them.\newline2=2×66=1262 = \frac{2 \times 6}{6} = \frac{12}{6}
  4. Subtract Fractions: Subtract the second fraction from the first fraction.\newline(126)(16)=(1216)=116(\frac{12}{6}) - (\frac{1}{6}) = (\frac{12 - 1}{6}) = \frac{11}{6}
  5. Check for Simplification: Check if the final fraction can be simplified further. 116\frac{11}{6} cannot be simplified further because 1111 and 66 have no common factors other than 11.

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