Question

753. 1) 5/8*2/3
--------- ;
5/9​

Answer 1

Ответ:

1. ((5 / 8) * (2 / 3)) / (5 / 9) =  $\frac{3}{4}$  или  $0,75.$

1)  $\frac{5}{8} *\frac{2}{3}= \frac{5}{4} *\frac{1}{3}= \frac{5}{12};$

2)  $\frac{5}{12}:\frac{5}{9} =\frac{5}{12}*\frac{9}{5} =\frac{9}{12} =\frac{3}{4}.$

2. ((3 / 4) * (1 / 3)) / (1 / 2) =  $\frac{1}{2}$  или  $0,5.$

1)  $\frac{3}{4} *\frac{1}{3}=\frac{1}{4};$

2) $\frac{1}{4}:\frac{1}{2}= \frac{1}{4}*\frac{2}{1}= \frac{2}{4}=\frac{1}{2} .$

3. ((7 / 15) * (3  3/4)) / (2 5/8) =  $\frac{2}{3}.$

1)  $\frac{7}{15}*3\frac{3}{4}= \frac{7}{15}*\frac{4*3+3}{4}= \frac{7}{15}*\frac{15}{4}= \frac{7}{4};$

2)  $\frac{7}{4}:2\frac{5}{8}= \frac{7}{4}:\frac{8*2+5}{8}= \frac{7}{4}:\frac{21}{8}= \frac{7}{4}*\frac{8}{21}= \frac{7}{1}* \frac{2}{21}=\frac{1}{1}* \frac{2}{3}=\frac{2}{3}.$

4. ((5 / 12) * (4 / 5)) / (2 / 9) =  $\frac{3}{2}$  или  $1\frac{1}{2}$   или $1,5.$

1)  $\frac{5}{12}* \frac{4}{5}=\frac{1}{12}*4=\frac{4}{12}=\frac{1}{3};$

2)  $\frac{1}{3}:\frac{2}{9}= \frac{1}{3}*\frac{9}{2}= \frac{9}{6} =\frac{3}{2}=1\frac{1}{2}.$