Rasyonel sayılar çözümlü sorular 1

 

Rasyonel sayılar merdiven kesirler le ilgili çözümlü sorular

Soru1:  
`1+\frac{1}{1+\frac{1}{2}}=?`  
`=1+\frac{1}{\frac{3}{2}}=`  
`=1+\frac{2}{3}=\frac{5}{3}`  
Soru 2:  
`1-\frac{1}{1-\frac{1}{2}}=?`  
`=1-\frac{1}{\frac{1}{2}}=1-\frac{1}{1}.\frac{2}{1}=1-2=-1`  
Soru 3:  
`5-\frac{1}{\frac{1}{3}}=?`  
`=5-\frac{1}{\frac{1}{3}}= 5-\frac{1}{1}.\frac{3}{1}= 5-3=2`  
Soru 4:  
`1-\frac{3}{\frac{2}{5}}=?`  
`=1-\frac{3}{\frac{2}{5}}=1-\frac{3}{1}.\frac{5}{2}=1-\frac{15}{2}=\frac{2-15}{2}=\frac{-13}{2}`  
Soru 4:  
`1-\frac{3}{\frac{2}{5}}=?`  
`=1-\frac{3}{\frac{2}{5}}=1-\frac{3}{1}.\frac{5}{2}=1-\frac{15}{2}=\frac{2-15}{2}=\frac{-13}{2}`  
Soru 5:  
`=2-\frac{5}{\frac{4}{3}}=?`  
`=2-\frac{5}{\frac{4}{3}}=2-\frac{5}{1}.\frac{3}{4}=2-\frac{15}{4}=\frac{8-15}{4}=\frac{-7}{4}`  
Soru 6:  
`1-\frac{1}{1-\frac{1}{1-\frac{1}{4}}}=?`  
`= 1-\frac{1}{1-\frac{1}{\frac{3}{4}}}=1-\frac{1}{1-\frac{4}{3}}=1-\frac{1}{-\frac{1}{3}}=1-\frac{1}{1}.( \frac{-3}{1} )=1+3=4`