a,\(\frac{45x16-17}{45x15+28}\) b,5\(\frac{3}{4}\)x2\(\frac{1}{2}\)+\(\frac{7}{2}\):\(1\frac{1}{4}\)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Đặt \(A=\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^8}\)
\(\Leftrightarrow\)\(3A=1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^7}\)
\(\Leftrightarrow\)\(3A-A=\left(1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^7}\right)-\left(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^8}\right)\)
\(\Leftrightarrow\)\(2A=1-\frac{1}{3^8}\)
\(\Leftrightarrow\)\(2A=\frac{3^8-1}{3^8}\)
\(\Leftrightarrow\)\(A=\frac{3^8-1}{3^8}:2\)
\(\Leftrightarrow\)\(A=\frac{3^8-1}{3^8}.\frac{1}{2}\)
\(\Leftrightarrow\)\(A=\frac{3^8-1}{2.3^8}\)
b) Đặt \(A=\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+.....+\frac{1}{3^8}\)
\(\Rightarrow\)\(3A=1+\frac{1}{3}+\frac{1}{3^2}+....+\frac{1}{3^7}\)
\(\Rightarrow\)\(3A-A=\left(1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^7}\right)-\left(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+....+\frac{1}{3^8}\right)\)
\(\Rightarrow\)\(2A=1-\frac{1}{3^8}\)
\(\Rightarrow\)\(A=\frac{1-\frac{1}{3^8}}{2}\)
\(\frac{45.16-17}{45.15+28}=\frac{45.15+45-17}{45.15+28}=\frac{45.15+28}{45.15+28}=1\)
45 × 16 - 17/45 × 15 + 28
= 45 × (15 + 1) - 17/45 × 15 + 28
= 45 × 15 + (45 - 17)/45 × 15 + 28
= 45 × 15 + 28/45 × 15 + 28
= 1
\(17,58\times43+5,7\times175,8\)
\(=17,58\times43+5,7\times10\times17,58\)
\(=17,58\times43+57\times17,58\)
\(=17,58\times\left(43+57\right)\)
\(=17,58\times100\)
\(=1758\)
_Chúc bạn học tốt_
\(17,58\times43+5,7\times175,8=17,58\times10\times4,3+5,7\times175,8\)
\(=175,8\times4,3+5,7\times175,8\)
\(=175,8\times\left(4,3+5,7\right)=175,8\times10=1758\)
lớp 4 mình đã học rùi
để mình giải cho\(\frac{45X16-17}{45X15+28}=\frac{45X\left(15+1\right)-17}{45X15+28}=\frac{45X15+45X1-17}{45X15+28}=\frac{45X15+45-17}{45X15+28}\)=\(\frac{45X15+28}{45X15+28}\)
rút gọn đi ta được 1
Đáp số 1
\(\frac{45.16-17}{45.15+28}=\frac{45.\left(15+1\right)-17}{45.15+28}=\frac{45.15+45-17}{45.15+28}=\frac{45.15+28}{45.15+28}=1\)
45 × 16 - 17 / 28 + 45 × 15
= 45 × (15 + 1) - 17 / 28 + 45 × 15
= 45 × 15 + (45 - 17) / 28 + 45 × 15
= 45 × 15 + 28 / 28 + 45 × 15
= 1
\(\frac{45\times16-17}{28+45\times15}\)
\(=\frac{45\left(15+1\right)-17}{28+45\times15}\)
\(=\frac{45\times15+\left(45-17\right)}{28+45\times15}\)
\(=\frac{45\times15+28}{28+45\times15}\)
\(=1\)
a) \(\frac{45x16-17}{45x15+28}=\frac{45x\left(15+1\right)-17}{45x15+28}\)\(=\frac{45x15+45-17}{45x15+28}=\frac{45x15+28}{45x15+28}=1\)
b) \(5\frac{3}{4}x2\frac{1}{2}+\frac{7}{2}:1\frac{1}{4}=\frac{23}{4}x\frac{5}{2}+\frac{7}{2}:\frac{5}{4}=\frac{115}{8}+\frac{7}{2}x\frac{4}{5}=\frac{115}{8}+\frac{14}{5}=\frac{575+112}{40}=\frac{678}{40}\)