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(1)/(2)+(1)/(6)=

12+16= \frac{1}{2}+\frac{1}{6}=

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Full solution

Q. 12+16= \frac{1}{2}+\frac{1}{6}=
  1. Identify LCD: Identify the least common denominator (LCD) for the fractions 12\frac{1}{2} and 16\frac{1}{6}. The denominators are 22 and 66. The LCD for 22 and 66 is 66.
  2. Convert fractions: Convert each fraction to an equivalent fraction with the LCD as the denominator.\newlineFor 12\frac{1}{2}, multiply the numerator and denominator by 33 to get 36\frac{3}{6}.\newlineFor 16\frac{1}{6}, the fraction is already with the LCD as the denominator, so it remains 16\frac{1}{6}.
  3. Add equivalent fractions: Add the equivalent fractions.\newlineNow that both fractions have the same denominator, add the numerators: 36+16=(3+1)6\frac{3}{6} + \frac{1}{6} = \frac{(3 + 1)}{6}.
  4. Perform addition: Perform the addition of the numerators.\newlineAdding the numerators gives us 46\frac{4}{6}.
  5. Simplify fraction: Simplify the fraction, if possible.\newlineThe fraction 46\frac{4}{6} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 22.\newlineSo, 46÷22=23\frac{4}{6} \div \frac{2}{2} = \frac{2}{3}.

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