Bonjour, Rendre la fraction 1467 578 125 × 337 599 808 ÷ 1400× 2594 678 125 irréductible

bonjour

Rendre la fraction :

1467 578 125 × 337 599 808 ÷ 1400× 2594 678 125 irréductible

1467578125 x 337599808 / (1400 x 2594678125) =

(293515625 x 5 x 84399952 x 4) / (350 x 4 x 518935625 x 5) =

(3757 x 5^7 x 5274997 x 2^4) / (175 x 2 x 830297 x 5^5) =

3757 x 5^2 x 5274997 x 2^3 / (175 x 830297) =

3757 x 5^2 x 5274997 x 2^3 / (5^2 x 7 x 830297) =

(3757 x 5274997 x 2^3) / (7 x 830297) =

(289 x 13 x 5274997 x 2^3) / (7 x 63869 x 13) =

(289 x 5274997 x 2^3) / (7 x 63869) =

(17 x 17 x 753571 x 7 x 2^3) / (7 x 221 x 17 x 17) =

(753571 x 2^3) / 221 = 6028568 / 221