Issolvi 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)

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

Evalwa

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

Passi tas-Soluzzjonijiet

Espandi \frac{0.11}{1.0552} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000.

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

Naqqas il-frazzjoni \frac{1100}{10552} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

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

Ikkalkula 1.0552 bil-power ta' 2 u tikseb 1.11344704.

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

Espandi \frac{0.11}{1.11344704} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100000000.

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

Naqqas il-frazzjoni \frac{11000000}{111344704} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 64.

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

L-inqas multipli komuni ta' 2638 u 1739761 huwa 3479522. Ikkonverti \frac{275}{2638} u \frac{171875}{1739761} fi frazzjonijiet bid-denominatur 3479522.

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

Billi \frac{362725}{3479522} u \frac{343750}{3479522} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Żid 362725 u 343750 biex tikseb 706475.

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

Ikkalkula 1.0552 bil-power ta' 3 u tikseb 1.174909316608.

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

Espandi \frac{0.11}{1.174909316608} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'1000000000000.

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

Naqqas il-frazzjoni \frac{110000000000}{1174909316608} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 512.

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

L-inqas multipli komuni ta' 3479522 u 2294744759 huwa 4589489518. Ikkonverti \frac{706475}{3479522} u \frac{214843750}{2294744759} fi frazzjonijiet bid-denominatur 4589489518.

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

Billi \frac{931840525}{4589489518} u \frac{429687500}{4589489518} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Żid 931840525 u 429687500 biex tikseb 1361528025.

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

Żid 1 u 0.0286 biex tikseb 1.0286.

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

Immultiplika 0.11 u 1.0286 biex tikseb 0.113146.

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

Ikkalkula 1.0552 bil-power ta' 3 u tikseb 1.174909316608.

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

Naqqas 0.0286 minn 0.0552 biex tikseb 0.0266.

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

Immultiplika 1.174909316608 u 0.0266 biex tikseb 0.0312525878217728.

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

Espandi \frac{0.113146}{0.0312525878217728} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000000000000000.

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

Naqqas il-frazzjoni \frac{1131460000000000}{312525878217728} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 1024.

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

L-inqas multipli komuni ta' 4589489518 u 305201052947 huwa 610402105894. Ikkonverti \frac{1361528025}{4589489518} u \frac{1104941406250}{305201052947} fi frazzjonijiet bid-denominatur 610402105894.

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

Billi \frac{181083227325}{610402105894} u \frac{2209882812500}{610402105894} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Żid 181083227325 u 2209882812500 biex tikseb 2390966039825.

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

Naqqas il-frazzjoni \frac{2390966039825}{610402105894} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 1319.

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

Fattur

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