Rešite 25div(565*2622662+1665div6622)266226*226+(1512div22641*22622*266=

$$25 \div (565 \times 2622662+1665 \div 6622)266226 \times 226+(1512 \div 22641 \times 22622 \times 266=$$

Ovrednoti

$$\frac{1190376124412097245448}{2962199398319551}\approx 401855,501384341$$

Koraki rešitve

Pomnožite 565 in 2622662, da dobite 1481804030.

$$\frac{25}{1481804030+\frac{1665}{6622}}\times 266226\times 226+\frac{1512}{22641}\times 22622\times 266$$

Pretvorite 1481804030 v ulomek \frac{9812506286660}{6622}.

$$\frac{25}{\frac{9812506286660}{6622}+\frac{1665}{6622}}\times 266226\times 226+\frac{1512}{22641}\times 22622\times 266$$

\frac{9812506286660}{6622} in \frac{1665}{6622} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{25}{\frac{9812506286660+1665}{6622}}\times 266226\times 226+\frac{1512}{22641}\times 22622\times 266$$

Seštejte 9812506286660 in 1665, da dobite 9812506288325.

$$\frac{25}{\frac{9812506288325}{6622}}\times 266226\times 226+\frac{1512}{22641}\times 22622\times 266$$

Delite 25 s/z \frac{9812506288325}{6622} tako, da pomnožite 25 z obratno vrednostjo \frac{9812506288325}{6622}.

$$25\times \frac{6622}{9812506288325}\times 266226\times 226+\frac{1512}{22641}\times 22622\times 266$$

Izrazite 25\times \frac{6622}{9812506288325} kot enojni ulomek.

$$\frac{25\times 6622}{9812506288325}\times 266226\times 226+\frac{1512}{22641}\times 22622\times 266$$

Pomnožite 25 in 6622, da dobite 165550.

$$\frac{165550}{9812506288325}\times 266226\times 226+\frac{1512}{22641}\times 22622\times 266$$

Zmanjšajte ulomek \frac{165550}{9812506288325} na najmanjši imenovalec tako, da izpeljete in okrajšate 25.

$$\frac{6622}{392500251533}\times 266226\times 226+\frac{1512}{22641}\times 22622\times 266$$

Izrazite \frac{6622}{392500251533}\times 266226 kot enojni ulomek.

$$\frac{6622\times 266226}{392500251533}\times 226+\frac{1512}{22641}\times 22622\times 266$$

Pomnožite 6622 in 266226, da dobite 1762948572.

$$\frac{1762948572}{392500251533}\times 226+\frac{1512}{22641}\times 22622\times 266$$

Izrazite \frac{1762948572}{392500251533}\times 226 kot enojni ulomek.

$$\frac{1762948572\times 226}{392500251533}+\frac{1512}{22641}\times 22622\times 266$$

Pomnožite 1762948572 in 226, da dobite 398426377272.

$$\frac{398426377272}{392500251533}+\frac{1512}{22641}\times 22622\times 266$$

Zmanjšajte ulomek \frac{1512}{22641} na najmanjši imenovalec tako, da izpeljete in okrajšate 3.

$$\frac{398426377272}{392500251533}+\frac{504}{7547}\times 22622\times 266$$

Izrazite \frac{504}{7547}\times 22622 kot enojni ulomek.

$$\frac{398426377272}{392500251533}+\frac{504\times 22622}{7547}\times 266$$

Pomnožite 504 in 22622, da dobite 11401488.

$$\frac{398426377272}{392500251533}+\frac{11401488}{7547}\times 266$$

Izrazite \frac{11401488}{7547}\times 266 kot enojni ulomek.

$$\frac{398426377272}{392500251533}+\frac{11401488\times 266}{7547}$$

Pomnožite 11401488 in 266, da dobite 3032795808.

$$\frac{398426377272}{392500251533}+\frac{3032795808}{7547}$$

Najmanjši skupni mnogokratnik 392500251533 in 7547 je 2962199398319551. Pretvorite \frac{398426377272}{392500251533} in \frac{3032795808}{7547} v ulomke z imenovalcem 2962199398319551.

$$\frac{3006923869271784}{2962199398319551}+\frac{1190373117488227973664}{2962199398319551}$$

\frac{3006923869271784}{2962199398319551} in \frac{1190373117488227973664}{2962199398319551} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{3006923869271784+1190373117488227973664}{2962199398319551}$$

Seštejte 3006923869271784 in 1190373117488227973664, da dobite 1190376124412097245448.

$$\frac{1190376124412097245448}{2962199398319551}$$

Faktoriziraj

$$\frac{2 ^ {3} \cdot 3 \cdot 7 \cdot 41 \cdot 67 \cdot 1834397 \cdot 1406121779}{13 \cdot 61 \cdot 509 \cdot 7547 \cdot 972409} = 401855\frac{1485200394033023}{2962199398319551} = 401855,5013843413$$