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` | |