7) $$ \frac{30}{17}+\frac{2}{4}+\frac{1}{2}+\frac{3}{4} $$

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UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \frac{30}{17}+\frac{2}{4}+\frac{1}{2}+\frac{3}{4} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{30}{17}+\frac{2}{4}+\frac{1}{2}+\frac{3}{4}$$
- step1: Reduce the fraction:
  $$\frac{30}{17}+\frac{1}{2}+\frac{1}{2}+\frac{3}{4}$$
- step2: Reduce fractions to a common denominator:
  $$\frac{30	imes 2	imes 2}{17	imes 2	imes 2}+\frac{17	imes 2}{2	imes 17	imes 2}+\frac{17	imes 2}{2	imes 17	imes 2}+\frac{3	imes 17}{4	imes 17}$$
- step3: Multiply the terms:
  $$\frac{30	imes 2	imes 2}{68}+\frac{17	imes 2}{2	imes 17	imes 2}+\frac{17	imes 2}{2	imes 17	imes 2}+\frac{3	imes 17}{4	imes 17}$$
- step4: Multiply the terms:
  $$\frac{30	imes 2	imes 2}{68}+\frac{17	imes 2}{68}+\frac{17	imes 2}{2	imes 17	imes 2}+\frac{3	imes 17}{4	imes 17}$$
- step5: Multiply the terms:
  $$\frac{30	imes 2	imes 2}{68}+\frac{17	imes 2}{68}+\frac{17	imes 2}{68}+\frac{3	imes 17}{4	imes 17}$$
- step6: Multiply the numbers:
  $$\frac{30	imes 2	imes 2}{68}+\frac{17	imes 2}{68}+\frac{17	imes 2}{68}+\frac{3	imes 17}{68}$$
- step7: Transform the expression:
  $$\frac{30	imes 2	imes 2+17	imes 2+17	imes 2+3	imes 17}{68}$$
- step8: Multiply the terms:
  $$\frac{120+17	imes 2+17	imes 2+3	imes 17}{68}$$
- step9: Multiply the numbers:
  $$\frac{120+34+17	imes 2+3	imes 17}{68}$$
- step10: Multiply the numbers:
  $$\frac{120+34+34+3	imes 17}{68}$$
- step11: Multiply the numbers:
  $$\frac{120+34+34+51}{68}$$
- step12: Add the numbers:
  $$\frac{239}{68}$$
La suma de $$ \frac{30}{17}+\frac{2}{4}+\frac{1}{2}+\frac{3}{4} $$ es aproximadamente igual a 3.514706.
La suma es aproximadamente 3.514706.

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