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3(2)/(3)+(1)/(6)+1(1)/(2)

3(23)+16+1(12)3\left(\frac{2}{3}\right)+\frac{1}{6}+1\left(\frac{1}{2}\right)

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Add and subtract linear expressionsright chevron icon

Full solution

Q. 3(23)+16+1(12)3\left(\frac{2}{3}\right)+\frac{1}{6}+1\left(\frac{1}{2}\right)
  1. Convert to improper fraction: Convert mixed number to improper fraction: 112=321 \frac{1}{2} = \frac{3}{2}.
  2. Simplify multiplication: Simplify 3(2)/33(2)/3: 3(2)/3=23(2)/3 = 2.
  3. Add fractions: Add the fractions:\newline2+16+322 + \frac{1}{6} + \frac{3}{2}.\newlineFirst, find a common denominator, which is 66:\newline2=1262 = \frac{12}{6}, 32=96\frac{3}{2} = \frac{9}{6}.\newlineNow add: 126+16+96=226\frac{12}{6} + \frac{1}{6} + \frac{9}{6} = \frac{22}{6}.

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