a) $$ \left(\frac{1}{4}+\frac{1}{5}\right) \div\left(\frac{1}{3}-\frac{1}{9}\right)= $$

Question

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ (1/4+1/5)/(1/3-1/9) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(\frac{1}{4}+\frac{1}{5}ight)}{\left(\frac{1}{3}-\frac{1}{9}ight)}$$
- step1: Remove the parentheses:
  $$\frac{\frac{1}{4}+\frac{1}{5}}{\frac{1}{3}-\frac{1}{9}}$$
- step2: Add the numbers:
  $$\frac{\frac{9}{20}}{\frac{1}{3}-\frac{1}{9}}$$
- step3: Subtract the numbers:
  $$\frac{\frac{9}{20}}{\frac{2}{9}}$$
- step4: Multiply by the reciprocal:
  $$\frac{9}{20}	imes \frac{9}{2}$$
- step5: Multiply the fractions:
  $$\frac{9	imes 9}{20	imes 2}$$
- step6: Multiply:
  $$\frac{81}{40}$$
La expresión $$ \left(\frac{1}{4}+\frac{1}{5}ight) \div\left(\frac{1}{3}-\frac{1}{9}ight) $$ se simplifica a $$ \frac{81}{40} $$ o $$ 2\frac{1}{40} $$ o $$ 2.025 $$.
La expresión simplifica a $$ \frac{81}{40} $$ o $$ 2.025 $$.

a)

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