Apakah hasil daripada pecahan berikut: 3/100, 15/49, 7/9?

Apakah hasil daripada pecahan berikut: 3/100, 15/49, 7/9?
Anonim

Jawapan:

#1/140#

Penjelasan:

Cara cepat, mudah

Kalkulator mungkin membantu di sini.

# 3/100 times15 / 49 times7 / 9 = (3 times15 times7) / (100 times49 times9) = 315/44100 #

44100# div #315 = 140, jadi# 315/44100 times (1/315) / (1/315) #

# (cancel (315) ^ color (red) (1)) / (cancel (44100) ^ color (red) (140)) = 1 /

Cara tercepat dan paling mudah

# 3/15 times15 / 49 times7 / 9 = (cancel (3) ^ (1) times cancel (15) ^ (3) times cancel (7) ^ 1)) ^ (20) times cancel (49) ^ (7) times cancel (9) ^ (3)) #

# = (1 times cancel (3) ^ (1) times1) / (20 times7 times cancel (3) ^ (1)) = 1 /