Question

1)(1/2+1/3)*(1/5-1/4) 2)(2/7-3/4)*(2/13-1/2) 3)(0,3-1/20):(3/4-1,2 4)(2,7-1/5):(1/2+4,5) ​

Answer 1

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Answer 2

Let's simplify each of the expressions:

1. $\left(\frac{1}{2} + \frac{1}{3}\right) \times \left(\frac{1}{5} - \frac{1}{4}\right)$

   To simplify, find a common denominator for the fractions:

   $= \left(\frac{3}{6} + \frac{2}{6}\right) \times \left(\frac{1}{5} - \frac{1}{4}\right)$

   $= \frac{5}{6} \times \left(\frac{4}{20} - \frac{5}{20}\right)$

   $= \frac{5}{6} \times \frac{-1}{20}$

   $= -\frac{1}{24}$

2. $\left(\frac{2}{7} - \frac{3}{4}\right) \times \left(\frac{2}{13} - \frac{1}{2}\right)$

   To simplify, find a common denominator for the fractions:

   $= \left(\frac{8}{28} - \frac{21}{28}\right) \times \left(\frac{4}{26} - \frac{13}{26}\right)$

   $= -\frac{13}{28} \times -\frac{9}{26}$

   $= \frac{117}{364}$

3. $\frac{0.3 - \frac{1}{20}}{3/4 - 1.2}$

   To simplify, convert the decimals to fractions:

   $= \frac{\frac{3}{10} - \frac{1}{20}}{\frac{3}{4} - \frac{6}{5}}$

   $= \frac{\frac{1}{10}}{\frac{15}{20} - \frac{24}{20}}$

   $= \frac{\frac{1}{10}}{-\frac{9}{20}}$

   $= -\frac{2}{9}$

4. $\frac{2.7 - \frac{1}{5}}{\frac{1}{2} + 4.5}$

   To simplify, convert the decimal to a fraction:

   $= \frac{\frac{27}{10} - \frac{1}{5}}{\frac{1}{2} + \frac{9}{2}}$

   $= \frac{\frac{27}{10} - \frac{2}{10}}{\frac{11}{2}}$