Issolvi 11/4+15/9*15/8div61/2=?

$$1 \frac { 1 } { 4 } + 1 \frac { 5 } { 9 } \times 1 \frac { 5 } { 8 } \div 6 \frac { 1 } { 2 } = ?$$

Evalwa

$$\frac{59}{36}\approx 1.638888889$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 4 biex tikseb 4.

$$\frac{4+1}{4}+\frac{\frac{1\times 9+5}{9}\times \frac{1\times 8+5}{8}}{\frac{6\times 2+1}{2}}$$

Żid 4 u 1 biex tikseb 5.

$$\frac{5}{4}+\frac{\frac{1\times 9+5}{9}\times \frac{1\times 8+5}{8}}{\frac{6\times 2+1}{2}}$$

Immultiplika 1 u 9 biex tikseb 9.

$$\frac{5}{4}+\frac{\frac{9+5}{9}\times \frac{1\times 8+5}{8}}{\frac{6\times 2+1}{2}}$$

Żid 9 u 5 biex tikseb 14.

$$\frac{5}{4}+\frac{\frac{14}{9}\times \frac{1\times 8+5}{8}}{\frac{6\times 2+1}{2}}$$

Immultiplika 1 u 8 biex tikseb 8.

$$\frac{5}{4}+\frac{\frac{14}{9}\times \frac{8+5}{8}}{\frac{6\times 2+1}{2}}$$

Żid 8 u 5 biex tikseb 13.

$$\frac{5}{4}+\frac{\frac{14}{9}\times \frac{13}{8}}{\frac{6\times 2+1}{2}}$$

Immultiplika \frac{14}{9} b'\frac{13}{8} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{5}{4}+\frac{\frac{14\times 13}{9\times 8}}{\frac{6\times 2+1}{2}}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{14\times 13}{9\times 8}.

$$\frac{5}{4}+\frac{\frac{182}{72}}{\frac{6\times 2+1}{2}}$$

Naqqas il-frazzjoni \frac{182}{72} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{5}{4}+\frac{\frac{91}{36}}{\frac{6\times 2+1}{2}}$$

Immultiplika 6 u 2 biex tikseb 12.

$$\frac{5}{4}+\frac{\frac{91}{36}}{\frac{12+1}{2}}$$

Żid 12 u 1 biex tikseb 13.

$$\frac{5}{4}+\frac{\frac{91}{36}}{\frac{13}{2}}$$

Iddividi \frac{91}{36} b'\frac{13}{2} billi timmultiplika \frac{91}{36} bir-reċiproku ta' \frac{13}{2}.

$$\frac{5}{4}+\frac{91}{36}\times \frac{2}{13}$$

Immultiplika \frac{91}{36} b'\frac{2}{13} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{5}{4}+\frac{91\times 2}{36\times 13}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{91\times 2}{36\times 13}.

$$\frac{5}{4}+\frac{182}{468}$$

Naqqas il-frazzjoni \frac{182}{468} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 26.

$$\frac{5}{4}+\frac{7}{18}$$

L-inqas multipli komuni ta' 4 u 18 huwa 36. Ikkonverti \frac{5}{4} u \frac{7}{18} fi frazzjonijiet bid-denominatur 36.

$$\frac{45}{36}+\frac{14}{36}$$

Billi \frac{45}{36} u \frac{14}{36} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{45+14}{36}$$

Żid 45 u 14 biex tikseb 59.

$$\frac{59}{36}$$

Fattur

$$\frac{59}{2 ^ {2} \cdot 3 ^ {2}} = 1\frac{23}{36} = 1.6388888888888888$$