(c) $$ 4 \frac{1}{7}+2 \frac{3}{4} $$

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UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ 4+\frac{1}{7}+2+\frac{3}{4} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$4+\frac{1}{7}+2+\frac{3}{4}$$
- step1: Add the numbers:
  $$6+\frac{1}{7}+\frac{3}{4}$$
- step2: Reduce fractions to a common denominator:
  $$\frac{6	imes 7	imes 4}{7	imes 4}+\frac{4}{7	imes 4}+\frac{3	imes 7}{4	imes 7}$$
- step3: Multiply the numbers:
  $$\frac{6	imes 7	imes 4}{28}+\frac{4}{7	imes 4}+\frac{3	imes 7}{4	imes 7}$$
- step4: Multiply the numbers:
  $$\frac{6	imes 7	imes 4}{28}+\frac{4}{28}+\frac{3	imes 7}{4	imes 7}$$
- step5: Multiply the numbers:
  $$\frac{6	imes 7	imes 4}{28}+\frac{4}{28}+\frac{3	imes 7}{28}$$
- step6: Transform the expression:
  $$\frac{6	imes 7	imes 4+4+3	imes 7}{28}$$
- step7: Multiply the terms:
  $$\frac{168+4+3	imes 7}{28}$$
- step8: Multiply the numbers:
  $$\frac{168+4+21}{28}$$
- step9: Add the numbers:
  $$\frac{193}{28}$$
The sum of $$4 \frac{1}{7}$$ and $$2 \frac{3}{4}$$ is $$6 \frac{25}{28}$$ or approximately 6.89.
$$ 4 \frac{1}{7}+2 \frac{3}{4}=6 \frac{25}{28} $$

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