Odpowiedź:
a) 10/55 + 4/5 *7/22( skracamy 4 i 22 przez 2)= 10/55 + 2/5 *7/11=
= 10/55 + 14/55= 24/55
b) 2 i 4/7 -3/4 : 2 i 1/3= 2 i 4/7 - 3/4 : 7/3= 2 i 4/7 - 3/4 *3/7 =
= 2 i 4/7- 9/28= 2 i 16/28- 9/28= 2 i 7/28= 2 i 1/4
c) 8/15 + 2 i 1/2 *1 i 1/3 -1/5= 8/15 + 5/2 *4/3 -1/5( skracamy 2 i 4 przez 2)=
= 8/15 + 5*2/3-1/5= 8/15 + 10/3- 1/5= 8/15 + 50/15 -3/15= 58/15- 3/15=
= 55/15= 3 i 10/15= 3 i 2/3
d) ( 1 i 1/4 -1/2 ) *( 2/5 : 3/25)= ( 5/4- 2/4) *( 2/5 *25/3) ( skracamy
5 i 25 przez 5)= 3/5 *( 2*5/3)= 3/5 *10/3 ( skracamy 3 i 3 przez 3,
oraz 5 i 10 przez 5)= 2
e) 2/7 + 13/20 : ( 3/5 : 3/8)= 2/7 + 13/20 *( 3/5*8/3) ( skracamy 3 i 3
przez 3) =2/7 + 13/20 *(1/5 *8)= 2/7 + 13/20*8/5( skracamy 20 i 8
przez 4)= 2/7 + 13/5 *2/5= 2/7 + 26/25=50/175 + 1 i 7/175=1 i 57/175
Szczegółowe wyjaśnienie:
10/55 + 4/5 * 7/22 = 10/55 + 14/55 = 24/55
2 i 4/7 - 3/4 : 2 i 1/3 = 2 i 4/7 - 3/4 * 3/7 = 2 i 4/7 - 9/28 = 2 i 16/28 - 9/28 = 2 i 7/28 = 2 i 1/4
8/15 + 2 i 1/2 * 1 i 1/3 - 1/5 = 8/15 + 5/2 * 4/3 - 1/5 = 8/15 + 10/3 - 1/5 = 8/15 + 3 i 1/3 - 1/5 = 8/15 + 3 i 5/15 - 3/15 = 3 i 13/15 - 3/15 = 3 i 10/15 = 3 i 2/3
(1 i 1/4 - 1/2) * (2/5 : 3/25) = (1 i 1/4 - 2/4) * (2/5 * 25/3) = (5/4 - 2/4) * 10/3 = 3/4 * 10/3 = 5/2 = 2 i 1/2
2/7 + 13/20 : (3/5 : 3/8) = 2/7 + 13/20 : (3/5 * 8/3) = 2/7 + 13/20 * 5/8 = 2/7 + 13/32 = 64/224 + 91/224 = 155/224
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2025 KUDO.TIPS - All rights reserved.
Odpowiedź:
a) 10/55 + 4/5 *7/22( skracamy 4 i 22 przez 2)= 10/55 + 2/5 *7/11=
= 10/55 + 14/55= 24/55
b) 2 i 4/7 -3/4 : 2 i 1/3= 2 i 4/7 - 3/4 : 7/3= 2 i 4/7 - 3/4 *3/7 =
= 2 i 4/7- 9/28= 2 i 16/28- 9/28= 2 i 7/28= 2 i 1/4
c) 8/15 + 2 i 1/2 *1 i 1/3 -1/5= 8/15 + 5/2 *4/3 -1/5( skracamy 2 i 4 przez 2)=
= 8/15 + 5*2/3-1/5= 8/15 + 10/3- 1/5= 8/15 + 50/15 -3/15= 58/15- 3/15=
= 55/15= 3 i 10/15= 3 i 2/3
d) ( 1 i 1/4 -1/2 ) *( 2/5 : 3/25)= ( 5/4- 2/4) *( 2/5 *25/3) ( skracamy
5 i 25 przez 5)= 3/5 *( 2*5/3)= 3/5 *10/3 ( skracamy 3 i 3 przez 3,
oraz 5 i 10 przez 5)= 2
e) 2/7 + 13/20 : ( 3/5 : 3/8)= 2/7 + 13/20 *( 3/5*8/3) ( skracamy 3 i 3
przez 3) =2/7 + 13/20 *(1/5 *8)= 2/7 + 13/20*8/5( skracamy 20 i 8
przez 4)= 2/7 + 13/5 *2/5= 2/7 + 26/25=50/175 + 1 i 7/175=1 i 57/175
Szczegółowe wyjaśnienie:
Odpowiedź:
10/55 + 4/5 * 7/22 = 10/55 + 14/55 = 24/55
2 i 4/7 - 3/4 : 2 i 1/3 = 2 i 4/7 - 3/4 * 3/7 = 2 i 4/7 - 9/28 = 2 i 16/28 - 9/28 = 2 i 7/28 = 2 i 1/4
8/15 + 2 i 1/2 * 1 i 1/3 - 1/5 = 8/15 + 5/2 * 4/3 - 1/5 = 8/15 + 10/3 - 1/5 = 8/15 + 3 i 1/3 - 1/5 = 8/15 + 3 i 5/15 - 3/15 = 3 i 13/15 - 3/15 = 3 i 10/15 = 3 i 2/3
(1 i 1/4 - 1/2) * (2/5 : 3/25) = (1 i 1/4 - 2/4) * (2/5 * 25/3) = (5/4 - 2/4) * 10/3 = 3/4 * 10/3 = 5/2 = 2 i 1/2
2/7 + 13/20 : (3/5 : 3/8) = 2/7 + 13/20 : (3/5 * 8/3) = 2/7 + 13/20 * 5/8 = 2/7 + 13/32 = 64/224 + 91/224 = 155/224