9. $$ \quad 1 \frac{3}{6}+4 \frac{4}{6}= $$

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UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ 1+\frac{3}{6}+4+\frac{4}{6} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$1+\frac{3}{6}+4+\frac{4}{6}$$
- step1: Reduce the fraction:
  $$1+\frac{1}{2}+4+\frac{4}{6}$$
- step2: Reduce the fraction:
  $$1+\frac{1}{2}+4+\frac{2}{3}$$
- step3: Add the numbers:
  $$5+\frac{1}{2}+\frac{2}{3}$$
- step4: Reduce fractions to a common denominator:
  $$\frac{5	imes 2	imes 3}{2	imes 3}+\frac{3}{2	imes 3}+\frac{2	imes 2}{3	imes 2}$$
- step5: Multiply the numbers:
  $$\frac{5	imes 2	imes 3}{6}+\frac{3}{2	imes 3}+\frac{2	imes 2}{3	imes 2}$$
- step6: Multiply the numbers:
  $$\frac{5	imes 2	imes 3}{6}+\frac{3}{6}+\frac{2	imes 2}{3	imes 2}$$
- step7: Multiply the numbers:
  $$\frac{5	imes 2	imes 3}{6}+\frac{3}{6}+\frac{2	imes 2}{6}$$
- step8: Transform the expression:
  $$\frac{5	imes 2	imes 3+3+2	imes 2}{6}$$
- step9: Multiply the terms:
  $$\frac{30+3+2	imes 2}{6}$$
- step10: Multiply the numbers:
  $$\frac{30+3+4}{6}$$
- step11: Add the numbers:
  $$\frac{37}{6}$$
The sum of $$1 \frac{3}{6}$$ and $$4 \frac{4}{6}$$ is $$6 \frac{1}{6}$$ or $$6.1\dot{6}$$.
$$ 1 \frac{3}{6}+4 \frac{4}{6}=6 \frac{1}{6} $$

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