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Hướng dẫn giải
15015 : 15 = 1001
38361 : 19 = 2019
42441 : 21 = 2021
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{75}{100}+\frac{18}{21}+\frac{19}{32}+\frac{1}{4}+\frac{3}{21}+\frac{13}{32}\)
\(=\left(\frac{75}{100}+\frac{1}{4}\right)+\left(\frac{18}{21}+\frac{3}{21}\right)+\left(\frac{19}{32}+\frac{13}{31}\right)\)
\(=1+1+1\)
\(=3\)
75100+1821+1932+14+321+133275100+1821+1932+14+321+1332
=(75100+14)+(1821+321)+(1932+1331)=(75100+14)+(1821+321)+(1932+1331)
=1+1+1=1+1+1
=3
![](https://rs.olm.vn/images/avt/0.png?1311)
Có những phân số chưa tối giản. Tuy nhiên vì đây là bài tính nhanh nên sẽ không rút gọn hết. Xíu quy đồng lại nữa :( Nên chọn lựa ra thôi.
\(\frac{75}{100}=\frac{3}{4}\)
Viết lại có: \(\frac{3}{4}+\frac{18}{21}+\frac{19}{32}+\frac{1}{4}+\frac{3}{21}+\frac{13}{32}\)
\(=\left(\frac{3}{4}+\frac{1}{4}\right)+\left(\frac{18}{21}+\frac{3}{21}\right)+\left(\frac{19}{32}+\frac{13}{32}\right)\)
\(=1+1+1\)
\(=3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
18/21 +19/32 +3/21+13/32
= (18/21 + 3/21) + (19/32 + 13/32)
= 1 + 1=2
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\(=\dfrac{75:25}{100:25}+\dfrac{18}{21}+\dfrac{19}{32}+\dfrac{1}{4}+\dfrac{3}{21}+\dfrac{13}{32}\\ =\left(\dfrac{3}{4}+\dfrac{1}{4}\right)+\left(\dfrac{18}{21}+\dfrac{3}{21}\right)+\left(\dfrac{19}{32}+\dfrac{13}{32}\right)\\ =1+1+1=3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
7/100+18/21+19/32+1/4+3/21+13/32
=7/100+(18/21+3/21)+(19/32+13/32)
=7/100+ 1 + 1
= 207/100
7/100+18/21+19/32+1/4+3/21+13/32
=7/100 + 1/4 + (18/21+3/21)+(19/32+13/32)
=7/100+ 25/100 + 1 + 1
=8/25 + 2
=58/25
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a) \(\dfrac{3}{5}\times\dfrac{17}{21}+\dfrac{2}{5}\times\dfrac{17}{21}\)
\(=\dfrac{17}{21}\times\left(\dfrac{3}{5}+\dfrac{2}{5}\right)\)
\(=\dfrac{17}{21}\times1\)
\(=\dfrac{17}{21}\)
b) \(\dfrac{11}{19}\times\dfrac{2}{7}+\dfrac{5}{7}\times\dfrac{11}{19}\)
\(=\dfrac{11}{19}\times\left(\dfrac{2}{7}+\dfrac{5}{7}\right)\)
\(=\dfrac{11}{19}\times1\)
\(=\dfrac{11}{19}\)
a: =17/21(3/5+2/5)
=17/21*5/5
=17/21
b: =11/19(2/7+5/7)
=11/19*1
=11/19
![](https://rs.olm.vn/images/avt/0.png?1311)
Số số hạng là: (21 - 3) : (21 - 19) + 1 = 10 (số hạng)
Tổng là: (21 + 3) x 10 : 2 = 120
TL
19/21:273/228=1444/1911
nha
HT