E) $$ \left(\frac{3}{4}-\frac{1}{5}\right): \frac{11}{4}-\frac{2}{5} $$

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UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ (3/4-1/5)/(11/4-2/5) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(\frac{3}{4}-\frac{1}{5}ight)}{\left(\frac{11}{4}-\frac{2}{5}ight)}$$
- step1: Remove the parentheses:
  $$\frac{\frac{3}{4}-\frac{1}{5}}{\frac{11}{4}-\frac{2}{5}}$$
- step2: Subtract the numbers:
  $$\frac{\frac{11}{20}}{\frac{11}{4}-\frac{2}{5}}$$
- step3: Subtract the numbers:
  $$\frac{\frac{11}{20}}{\frac{47}{20}}$$
- step4: Multiply by the reciprocal:
  $$\frac{11}{20}	imes \frac{20}{47}$$
- step5: Reduce the numbers:
  $$11	imes \frac{1}{47}$$
- step6: Multiply:
  $$\frac{11}{47}$$
La expresión $$ \left(\frac{3}{4}-\frac{1}{5}ight): \frac{11}{4}-\frac{2}{5} $$ se simplifica a $$ \frac{11}{47} $$ o aproximadamente 0.234043.
La expresión simplifica a $$ \frac{11}{47} $$ o aproximadamente 0.234.

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