Datrys 0.11/1.0552+0.11/1.0552^2+0.11/1.0552^3+0.11left(1+0.0286right)/1.0552^3left(0.0552-0.0286right)

$$\frac{ 0.11 }{ 1.0552 } + \frac{ 0.11 }{ { 1.0552 }^{ 2 } } + \frac{ 0.11 }{ { 1.0552 }^{ 3 } } + \frac{ 0.11 \left( 1+0.0286 \right) }{ { 1.0552 }^{ 3 } \left( 0.0552-0.0286 \right) }$$

Enrhifo

$$\frac{1812711175}{462776426}\approx 3.917034389$$

Camau Ateb

Ehangu \frac{0.11}{1.0552} drwy luosi'r rhifiadur a'r enwadur gyda 10000.

$$\frac{1100}{10552}+\frac{0.11}{1.0552^{2}}+\frac{0.11}{1.0552^{3}}+\frac{0.11\left(1+0.0286\right)}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Lleihau'r ffracsiwn \frac{1100}{10552} i'r graddau lleiaf posib drwy dynnu a chanslo allan 4.

$$\frac{275}{2638}+\frac{0.11}{1.0552^{2}}+\frac{0.11}{1.0552^{3}}+\frac{0.11\left(1+0.0286\right)}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Cyfrifo 1.0552 i bŵer 2 a chael 1.11344704.

$$\frac{275}{2638}+\frac{0.11}{1.11344704}+\frac{0.11}{1.0552^{3}}+\frac{0.11\left(1+0.0286\right)}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Ehangu \frac{0.11}{1.11344704} drwy luosi'r rhifiadur a'r enwadur gyda 100000000.

$$\frac{275}{2638}+\frac{11000000}{111344704}+\frac{0.11}{1.0552^{3}}+\frac{0.11\left(1+0.0286\right)}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Lleihau'r ffracsiwn \frac{11000000}{111344704} i'r graddau lleiaf posib drwy dynnu a chanslo allan 64.

$$\frac{275}{2638}+\frac{171875}{1739761}+\frac{0.11}{1.0552^{3}}+\frac{0.11\left(1+0.0286\right)}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Lluosrif lleiaf cyffredin 2638 a 1739761 yw 3479522. Troswch \frac{275}{2638} a \frac{171875}{1739761} yn ffracsiynau gyda’r enwadur 3479522.

$$\frac{362725}{3479522}+\frac{343750}{3479522}+\frac{0.11}{1.0552^{3}}+\frac{0.11\left(1+0.0286\right)}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Gan fod gan \frac{362725}{3479522} a \frac{343750}{3479522} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{362725+343750}{3479522}+\frac{0.11}{1.0552^{3}}+\frac{0.11\left(1+0.0286\right)}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Adio 362725 a 343750 i gael 706475.

$$\frac{706475}{3479522}+\frac{0.11}{1.0552^{3}}+\frac{0.11\left(1+0.0286\right)}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Cyfrifo 1.0552 i bŵer 3 a chael 1.174909316608.

$$\frac{706475}{3479522}+\frac{0.11}{1.174909316608}+\frac{0.11\left(1+0.0286\right)}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Ehangu \frac{0.11}{1.174909316608} drwy luosi'r rhifiadur a'r enwadur gyda 1000000000000.

$$\frac{706475}{3479522}+\frac{110000000000}{1174909316608}+\frac{0.11\left(1+0.0286\right)}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Lleihau'r ffracsiwn \frac{110000000000}{1174909316608} i'r graddau lleiaf posib drwy dynnu a chanslo allan 512.

$$\frac{706475}{3479522}+\frac{214843750}{2294744759}+\frac{0.11\left(1+0.0286\right)}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Lluosrif lleiaf cyffredin 3479522 a 2294744759 yw 4589489518. Troswch \frac{706475}{3479522} a \frac{214843750}{2294744759} yn ffracsiynau gyda’r enwadur 4589489518.

$$\frac{931840525}{4589489518}+\frac{429687500}{4589489518}+\frac{0.11\left(1+0.0286\right)}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Gan fod gan \frac{931840525}{4589489518} a \frac{429687500}{4589489518} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{931840525+429687500}{4589489518}+\frac{0.11\left(1+0.0286\right)}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Adio 931840525 a 429687500 i gael 1361528025.

$$\frac{1361528025}{4589489518}+\frac{0.11\left(1+0.0286\right)}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Adio 1 a 0.0286 i gael 1.0286.

$$\frac{1361528025}{4589489518}+\frac{0.11\times 1.0286}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Lluosi 0.11 a 1.0286 i gael 0.113146.

$$\frac{1361528025}{4589489518}+\frac{0.113146}{1.0552^{3}\left(0.0552-0.0286\right)}$$

Cyfrifo 1.0552 i bŵer 3 a chael 1.174909316608.

$$\frac{1361528025}{4589489518}+\frac{0.113146}{1.174909316608\left(0.0552-0.0286\right)}$$

Tynnu 0.0286 o 0.0552 i gael 0.0266.

$$\frac{1361528025}{4589489518}+\frac{0.113146}{1.174909316608\times 0.0266}$$

Lluosi 1.174909316608 a 0.0266 i gael 0.0312525878217728.

$$\frac{1361528025}{4589489518}+\frac{0.113146}{0.0312525878217728}$$

Ehangu \frac{0.113146}{0.0312525878217728} drwy luosi'r rhifiadur a'r enwadur gyda 10000000000000000.

$$\frac{1361528025}{4589489518}+\frac{1131460000000000}{312525878217728}$$

Lleihau'r ffracsiwn \frac{1131460000000000}{312525878217728} i'r graddau lleiaf posib drwy dynnu a chanslo allan 1024.

$$\frac{1361528025}{4589489518}+\frac{1104941406250}{305201052947}$$

Lluosrif lleiaf cyffredin 4589489518 a 305201052947 yw 610402105894. Troswch \frac{1361528025}{4589489518} a \frac{1104941406250}{305201052947} yn ffracsiynau gyda’r enwadur 610402105894.

$$\frac{181083227325}{610402105894}+\frac{2209882812500}{610402105894}$$

Gan fod gan \frac{181083227325}{610402105894} a \frac{2209882812500}{610402105894} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{181083227325+2209882812500}{610402105894}$$

Adio 181083227325 a 2209882812500 i gael 2390966039825.

$$\frac{2390966039825}{610402105894}$$

Lleihau'r ffracsiwn \frac{2390966039825}{610402105894} i'r graddau lleiaf posib drwy dynnu a chanslo allan 1319.

$$\frac{1812711175}{462776426}$$

Ffactor

$$\frac{11 \cdot 6591677 \cdot 5 ^ {2}}{2 \cdot 7 \cdot 19 \cdot 1319 ^ {2}} = 3\frac{424381897}{462776426} = 3.917034388869238$$