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1)
a) 21/23 x 5/11 x 4/35
= \(\frac{21.5.4}{23.11.35}\)
= \(\frac{7.3.5.4}{23.11.5.7}\)
= \(\frac{3.4}{23.11}\) ( ta đã rút gọc 7 và 5 )
= \(\frac{12}{253}\)
b) 26 x 13/42 : 13
= \(\frac{26.13}{42.13}\)
= \(\frac{13.2.13}{21.2.13}\)
= \(\frac{13}{21}\)
c) 5/9 : 2/9 + 4/9 : 2/3
= \(\frac{5.9}{9.2}+\frac{4.3}{9.2}\)
= \(\frac{5}{2}+\frac{2.2.3}{3.3.2}\)
= \(\frac{5}{2}+\frac{2}{3}\)
= \(\frac{19}{6}\)
2 ) tìm x
a ) 2 - x = 1/3 + 1/6
2 - x = 1/2
x = 2 - 1/2
x = 3/2
b ) x + 5/8 = 1 + 3/4
x + 5/8 = 7/4
x = 7/4 - 5/8
x = 9/8
3)
a) x < 3/4 + 4/5
=> x < 31/20
=> x = 1
b) 1/2 + 3/5 < x < 5/4
=> 11/10 < x < 5/4
ta quy đồng phân số 11/10 và 5/4
\(\frac{11}{10}=\frac{11.4}{10.4}=\frac{44}{40}\)
\(\frac{5}{4}=\frac{5.10}{4.10}=\frac{50}{40}\)
=> 44/40 < x < 50/40
=> x không thỏa mãn
a) 1/5 + 8/15 : y = 1/2
8/15 : y = 1/2 - 1/5
8/15 : y = 3/10
y = 8/15 : 3/10
y = 16/9
b) 4/11 x y -6/11 = 2/5
4/11 x y = 2/5 + 6/11
4/11 x y = 52/55
y = 52/55 : 4/11
y = 13/5
Nick zing của mk:
http://me.zing.vn/u/nhainhinhanh5agx/?_src=header#wall
Bài 1 :
\(\frac{2}{19}+\frac{4}{5}+1\frac{7}{9}+\frac{1}{5}\)
\(=\frac{2}{19}+1\frac{7}{9}+\left(\frac{4}{5}+\frac{1}{5}\right)\)
\(=\frac{2}{19}+1\frac{7}{9}+1\)
\(=\frac{493}{171}\)
\(\frac{1}{11}+\frac{2}{11}+\frac{3}{11}+\frac{4}{11}+\frac{5}{11}+\frac{6}{11}+\frac{7}{11}+\frac{8}{11}+\frac{9}{11}+\frac{10}{11}\)
\(=\left(\frac{1}{11}+\frac{10}{11}\right)+\left(\frac{2}{11}+\frac{9}{11}\right)+\left(\frac{3}{11}+\frac{8}{11}\right)+\left(\frac{4}{11}+\frac{7}{11}\right)+\left(\frac{5}{11}+\frac{6}{11}\right)\)
\(=1+1+1+1+1\)
\(=5\)
Bài 2 :
y : (23 + 27) = 9 1000 : (y x 25) = 8
y : 50 = 9 y x 25 = 1000 : 8
y = 9 x 50 y x 25 = 125
y = 450 y = 125 : 25
133 : (190 : y) = 7 y = 5
190 : y = 133 : 7 450 : (y + 42) = 9
190 : y = 19 y + 42 = 450 : 9
y = 190 : 19 y + 42 = 50
y = 10 y = 50 - 42
y = 8
a,Cách 1: (6/11 + 5/11 ) x 3/7 Cách 2 :(6/11 + 5/11) x 3/7
= 1 x 3/7 =6/11 x 3/7 + 5/11 x 3/7
= 3/7 = 18/77 + 15/77
= 3/7
b, Cách 1:3/5 x 7/9 - 3/5 x 2/9 Cách 2 :3/5 x 7/9 - 3/5 x 2/9
= 7/15 - 2/15 = 3/5 x (7/9 - 2/9 )
= 1/3 = 3/5 x 5/9
= 1/3
c, Cách 1:(6/7 - 4/7) : 2/5 Cách 2: ( 6/7- 4/7 ) : 2/5
= 2/7 : 2/5 = 6/7 : 2/5 - 4/7 : 2/5
= 5/7 = 15/7 - 10/7
= 5/7
d,Cách 1:8/15 : 2/11 + 7/15 : 2/11 Cách 2:8/15 : 2/11 +7/15 : 2/11
= 88/30 + 77/30 =(8/15+7/15) :2/11
= 11/2 = 1 : 2/11
= 11/2
Bài 2 cậu tự làm nhé !
bài 1 :
\(\frac{5}{12}\) + \(\frac{1}{3}\) = \(\frac{5}{12}\) + \(\frac{4}{12}\) = \(\frac{5+4}{12}\) = \(\frac{9}{12}\) = \(\frac{3}{4}\)
1 - \(\frac{3}{4}\) = \(\frac{4}{4}\) - \(\frac{3}{4}\) = \(\frac{4-3}{4}\) = \(\frac{1}{4}\)
2 x \(\frac{3}{11}\) = \(\frac{2x3}{11}\) = \(\frac{6}{11}\)
\(\frac{8}{7}\): 4 = \(\frac{8}{7x4}\) = \(\frac{8}{28}\) = \(\frac{2}{7}\)
bài 2 :
\(\frac{2}{5}\) : y = \(\frac{1}{3}\)
y = \(\frac{2}{5}\) : \(\frac{1}{3}\)
y = \(\frac{6}{5}\)
y : \(\frac{7}{11}\) = 22
y = 22 x \(\frac{7}{11}\)
y = 14
ai thấy đúng tk nha
1/5+8/15:y=1/2
8/15:y=1/5-1/2
8/15:y=-3/10
y=8/15:1/2
y=16/15
vậy y=16/15
4/11.y-6/11=2/5
4/11.y=2/5+6/11
4/11.y=52/55
y=52/55:4/11
y=13/5
vậy y=13/5