(21) $$ 5 \frac{1}{2}-3 \frac{5}{6} $$

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UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ 5\frac{1}{2}-3\frac{5}{6} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$5\frac{1}{2}-3\frac{5}{6}$$
- step1: Convert the expressions:
  $$\frac{11}{2}-\frac{23}{6}$$
- step2: Reduce fractions to a common denominator:
  $$\frac{11	imes 3}{2	imes 3}-\frac{23}{6}$$
- step3: Multiply the numbers:
  $$\frac{11	imes 3}{6}-\frac{23}{6}$$
- step4: Transform the expression:
  $$\frac{11	imes 3-23}{6}$$
- step5: Multiply the numbers:
  $$\frac{33-23}{6}$$
- step6: Subtract the numbers:
  $$\frac{10}{6}$$
- step7: Reduce the fraction:
  $$\frac{5}{3}$$
The result of $$5\frac{1}{2}-3\frac{5}{6}$$ is $$1\frac{2}{3}$$ or $$1.666...$$
$$ 5\frac{1}{2}-3\frac{5}{6}=1\frac{2}{3} $$

(21)

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