Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a)\(\frac{2.4}{6.18}\)=\(\frac{2.2.2}{2.3.2.3.3}\)=\(\frac{2.1.1}{1.3.1.3.3}\)=\(\frac{2}{27}\)
b)\(\frac{3.5.7}{6.9.14}\)=\(\frac{3.5.7}{2.3.3.3.2.7}\)=\(\frac{1.5.1}{2.1.3.3.2.1}\)=\(\frac{5}{36}\)
c)\(\frac{4.7-4.5}{64}\)=\(\frac{4.\left(7-5\right)}{64}\)=\(\frac{4.2}{64}\)=\(\frac{8}{64}\)=\(\frac{1}{8}\)
a, \(\dfrac{2.4}{6.18}\)=\(\dfrac{2}{27}\)
b,\(\dfrac{3.5.7}{6.9.14}\)=\(\dfrac{105}{756}\)=\(\dfrac{35}{232}\)
c,\(\dfrac{4.7-4.5}{64}\)=\(\dfrac{28-20}{64}\)=\(\dfrac{8}{64}\)=\(\dfrac{1}{8}\)
nhớ like nhé
\(\dfrac{2.4}{6.18}=\dfrac{8}{108}=\dfrac{2}{27}\)
\(\dfrac{3.5.7}{6.9.14}=\dfrac{105}{756}=\dfrac{35}{252}\)
\(\dfrac{4.7-4.5}{64}=\dfrac{4.\left(7-5\right)}{64}=\dfrac{4.2}{64}=\dfrac{8}{64}=\dfrac{1}{8}\)
Chúc bạn học tốt
\(\frac{28}{36}=\frac{28:4}{36:4}=\frac{7}{9}\)
\(\frac{-63}{90}=\frac{-63:9}{90:9}=\frac{-7}{10}\)
\(\frac{40}{-120}=\frac{40:40}{-120:40}=\frac{1}{-3}\)
Bài 2:
\(\frac{2.4}{6.18}=\frac{2.2.2}{2.3.2.3.3}=\frac{2}{3.3.3}=\frac{2}{27}\)
\(\frac{3.5.7}{6.9.14}=\frac{3.5.7}{2.3.3.3.2.7}=\frac{5}{3.3.2.2}=\frac{5}{36}\)
\(\frac{4.7.\left(-4\right).5}{64}=\frac{4.7.\left(-4\right).5}{4.4.4}=\frac{7.\left(-5\right)}{4}=\frac{-35}{4}\)
\(\frac{2^2.3^3.5^7}{2^3.3^4.5^6}=\frac{1.1.5}{2.3.1}=\frac{5}{6}\)
Làm tương tự
1) Các phân số tối giản là: \(\frac{1}{5};\frac{5}{7};\frac{-2}{9}\)
2) a) \(\frac{28}{36}=\frac{28:4}{36:4}=\frac{7}{9}\)
b) \(\frac{-63}{90}=\frac{-63:9}{90:9}=\frac{-7}{10}\)
c) \(\frac{40}{-120}=\frac{40:40}{-120:40}=\frac{-1}{3}\)
3) a) \(\frac{2.4}{6.18}=\frac{2.2.2}{2.3.3.2.3}=\frac{2}{27}\)
b) \(\frac{3.5.7}{6.9.14}=\frac{3.5.7}{2.3.9.2.7}=\frac{5}{36}\)
c) \(\frac{4.7-4.5}{64}=\frac{4.\left(7-5\right)}{64}=\frac{4.2}{64}=\frac{8}{64}=\frac{1}{8}\)
4) Muốn rút gọn một phân số chưa tối giản, ta tìm ƯCLN của cả hai số ở tử và mẫu, rồi cùng đem cả tử và mẫu chia cho số chung vừa tìm được.
\(A=\frac{15.39}{9.25}=\frac{3.5.3.13}{3.3.5.5}=\frac{13}{5}\)
\(B=\frac{21-21.5}{2^2}=\frac{21.\left(1-5\right)}{4}=\frac{21.\left(-4\right)}{4}=-21\)
\(C=\frac{1.2.3....20}{2.4...40}=\frac{1.2.3...20}{2\left(1.2.3...20\right)}=\frac{1}{2}\)
Ta có :
\(A=\frac{15.39}{9.25}=\frac{3.5.39}{3^2.5^2}=\frac{39}{3.5}=\frac{39}{15}\)
\(B=\frac{21-21.5}{2^2}=\frac{21.\left(1-5\right)}{4}=\frac{21.\left(-4\right)}{4}=\frac{21.\left(-1\right)}{1}=-21\)
\(C=\frac{1.2.3...20}{2.4.6...40}=\frac{\left(1.3.5...19\right).\left(2.4.6...20\right)}{\left(2.4.6...20\right).\left(22.24.26...40\right)}=\frac{1.3.5.19}{22.24.26...40}\)
\(b)\) Đặt \(A=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{99.100}\) ta có :
\(A=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{99}-\frac{1}{100}\)
\(A=\frac{1}{2}-\frac{1}{100}< \frac{1}{2}-0=\frac{1}{2}\)
\(\Rightarrow\)\(A< \frac{1}{2}\) ( đpcm )
Vậy \(A< \frac{1}{2}\)
Chúc bạn học tốt ~
\(a)\frac{9.25-63}{3.30+153}\)
\(=\frac{9.25-9.7}{3.30+3.51}\)
\(=\frac{9.\left(25-7\right)}{3.\left(30+51\right)}\)
\(=\frac{9.18}{3.81}\)
\(=\frac{1.6}{1.9}\)
\(=\frac{6}{9}\)
\(=\frac{2}{3}\)
b ) \(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{99.100}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{100}< \frac{1}{2}\left(Đpcm\right)\)
Chúc bạn học tốt !!!
\(\frac{2.4}{6.18}=\frac{1.2}{3.9}=\frac{2}{27}\)
\(\frac{3.5.7}{6.9.14}=\frac{1.5.7}{2.9.2}=\frac{35}{36}\)
\(\frac{4.7-4.5}{64}=\frac{4\left(7-5\right)}{64}=\frac{8}{64}=\frac{1}{8}\)
a, \(\frac{2.4}{6.18}\)
\(=\frac{2.2.2}{2.3.2.9}=\frac{2}{27}\)
P/s: Trl từng câu :)