a) $$ \frac{7}{9}+6\left(\frac{11 x}{9}-\frac{3}{8}\right) $$

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UpStudy AI · Accepted Answer

Wir werden den Ausdruck $$ \frac{7}{9}+6\left(\frac{11 x}{9}-\frac{3}{8}ight) $$ schrittweise vereinfachen.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{7}{9}+6\left(\frac{11x}{9}-\frac{3}{8}ight)$$
- step1: Subtract the terms:
  $$\frac{7}{9}+6	imes \frac{88x-27}{72}$$
- step2: Multiply the terms:
  $$\frac{7}{9}+\frac{88x-27}{12}$$
- step3: Reduce fractions to a common denominator:
  $$\frac{7	imes 4}{9	imes 4}+\frac{\left(88x-27ight)	imes 3}{12	imes 3}$$
- step4: Multiply the numbers:
  $$\frac{7	imes 4}{36}+\frac{\left(88x-27ight)	imes 3}{12	imes 3}$$
- step5: Multiply the numbers:
  $$\frac{7	imes 4}{36}+\frac{\left(88x-27ight)	imes 3}{36}$$
- step6: Transform the expression:
  $$\frac{7	imes 4+\left(88x-27ight)	imes 3}{36}$$
- step7: Multiply the numbers:
  $$\frac{28+\left(88x-27ight)	imes 3}{36}$$
- step8: Multiply the terms:
  $$\frac{28+264x-81}{36}$$
- step9: Subtract the numbers:
  $$\frac{-53+264x}{36}$$
Das Ergebnis des Ausdrucks $$ \frac{7}{9}+6\left(\frac{11 x}{9}-\frac{3}{8}ight) $$ ist $$ \frac{-53+264x}{36} $$.

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