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

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

I-evaluate

$$\frac{1190376124412097245448}{2962199398319551}\approx 401855.501384341$$

Mga Hakbang ng Solution

I-multiply ang 565 at 2622662 para makuha ang 1481804030.

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

I-convert ang 1481804030 sa fraction na \frac{9812506286660}{6622}.

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

Dahil may parehong denominator ang \frac{9812506286660}{6622} at \frac{1665}{6622}, pagsamahin ang mga ito sa pamamagitan ng pagsasama sa mga numerator ng mga ito.

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

Idagdag ang 9812506286660 at 1665 para makuha ang 9812506288325.

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

I-divide ang 25 gamit ang \frac{9812506288325}{6622} sa pamamagitan ng pagmu-multiply sa 25 gamit ang reciprocal ng \frac{9812506288325}{6622}.

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

Ipakita ang 25\times \frac{6622}{9812506288325} bilang isang single fraction.

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

I-multiply ang 25 at 6622 para makuha ang 165550.

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

Bawasan ang fraction \frac{165550}{9812506288325} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 25.

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

Ipakita ang \frac{6622}{392500251533}\times 266226 bilang isang single fraction.

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

I-multiply ang 6622 at 266226 para makuha ang 1762948572.

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

Ipakita ang \frac{1762948572}{392500251533}\times 226 bilang isang single fraction.

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

I-multiply ang 1762948572 at 226 para makuha ang 398426377272.

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

Bawasan ang fraction \frac{1512}{22641} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 3.

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

Ipakita ang \frac{504}{7547}\times 22622 bilang isang single fraction.

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

I-multiply ang 504 at 22622 para makuha ang 11401488.

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

Ipakita ang \frac{11401488}{7547}\times 266 bilang isang single fraction.

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

I-multiply ang 11401488 at 266 para makuha ang 3032795808.

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

Ang least common multiple ng 392500251533 at 7547 ay 2962199398319551. I-convert ang \frac{398426377272}{392500251533} at \frac{3032795808}{7547} sa mga fraction na may denominator na 2962199398319551.

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

Dahil may parehong denominator ang \frac{3006923869271784}{2962199398319551} at \frac{1190373117488227973664}{2962199398319551}, pagsamahin ang mga ito sa pamamagitan ng pagsasama sa mga numerator ng mga ito.

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

Idagdag ang 3006923869271784 at 1190373117488227973664 para makuha ang 1190376124412097245448.

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

I-factor

$$\frac{2 ^ {3} \cdot 3 \cdot 7 \cdot 41 \cdot 67 \cdot 1834397 \cdot 1406121779}{13 \cdot 61 \cdot 509 \cdot 7547 \cdot 972409} = 401855\frac{1485200394033023}{2962199398319551} = 401855.5013843413$$