tính
6/7:24/49-1/24
tính
17/24 x 3/51 6/7 : 24/49 - 1/24
( viết phép tính ra)
a) \(\dfrac{17}{24}\times\dfrac{3}{51}=\dfrac{51}{1224}=\dfrac{1}{24}\)
b) \(\dfrac{6}{7}\div\dfrac{24}{49}-\dfrac{1}{24}\)
\(=\dfrac{7}{4}-\dfrac{1}{24}=\dfrac{41}{24}\)
a) \(\dfrac{17}{24}\)x\(\dfrac{3}{51}=\dfrac{51}{1224}=\dfrac{1}{24}\)
b) \(\dfrac{6}{7}:\dfrac{24}{49}-\dfrac{1}{24}=\dfrac{7}{4}-\dfrac{1}{24}=\dfrac{41}{24}\)
Rút gọn : 7*25-49/7*24-24
\(\frac{7.25-49}{7.24-24}=\frac{175-49}{168-24}=\frac{126}{144}=\frac{7}{8}\)
Ta có: \(\frac{7\times25-49}{7\times24-24}\)
=\(\frac{7\times25-7\times2}{7\times24-24\times1}\)
= \(\frac{7\left(25-2\right)}{24\left(7-1\right)}\)
=\(\frac{7\times23}{24\times6}\)
= \(\frac{161}{96}\)
chứng minh rằng
a) 2^35-32^6 là bội của 31
b)3^24+27^7 là bội của 28
c)7^49-49^24 là bội của 42
bài 1:
a) 10\17+5\-13-11\25+7\17-8\13
b) 0,3-93\7-70%0-4\7
c)1\8+1\24+1\48+...+1\2400
d) 3\41-12\17+33\49
-----------------------------
12\41-48\17+132\49
a, \(\dfrac{10}{17}\) + \(\dfrac{5}{-13}\) - \(\dfrac{11}{25}\) + \(\dfrac{7}{17}\) - \(\dfrac{8}{13}\)
= ( \(\dfrac{10}{17}\) + \(\dfrac{7}{17}\)) - ( \(\dfrac{5}{13}\) + \(\dfrac{8}{13}\)) - \(\dfrac{11}{25}\)
= \(\dfrac{17}{17}\) - \(\dfrac{13}{13}\) - \(\dfrac{11}{25}\)
= 1 - 1 - \(\dfrac{11}{25}\)
= - \(\dfrac{11}{25}\)
b, 0,3 - \(\dfrac{93}{7}\) - 70% - \(\dfrac{4}{7}\)
= 0,3 - 0,7 - ( \(\dfrac{93}{7}+\dfrac{4}{7}\))
= - 0,4 - \(\dfrac{97}{7}\)
= - \(\dfrac{2}{5}\) - \(\dfrac{97}{7}\)
= - \(\dfrac{499}{35}\)
c, \(\dfrac{1}{8}\) + \(\dfrac{1}{24}\) + \(\dfrac{1}{48}\)+ ...+ \(\dfrac{1}{2400}\)
= \(\dfrac{1}{2\times4}\) +\(\dfrac{1}{4\times6}\) + \(\dfrac{1}{6\times8}\) +...+ \(\dfrac{1}{48\times50}\)
= \(\dfrac{1}{2}\) \(\times\) ( \(\dfrac{2}{2\times4}\) +\(\dfrac{2}{4\times6}\)+ \(\dfrac{2}{6\times8}\) +...+ \(\dfrac{2}{48\times50}\))
= \(\dfrac{1}{2}\) \(\times\) ( \(\dfrac{1}{2}\) - \(\dfrac{1}{4}\) + \(\dfrac{1}{4}\) - \(\dfrac{1}{6}\) + \(\dfrac{1}{6}\) - \(\dfrac{1}{8}\) +...+ \(\dfrac{1}{48}\) - \(\dfrac{1}{50}\))
= \(\dfrac{1}{2}\) \(\times\) ( \(\dfrac{1}{2}\) - \(\dfrac{1}{50}\))
= \(\dfrac{1}{2}\) \(\times\) \(\dfrac{12}{25}\)
= \(\dfrac{6}{25}\)
Tính nhẩm:
6 x 7 = ………… 49 : 7 = ………..
7 x 4 = ………... 24 : 6 = ………..
6 x 7 = 42 49 : 7 = 7
7 x 4 = 28 24 : 6 = 4
7 x 25 - 49
7 - 24 +21
7x 25-49=175-49= 126
7-24+21=-17+21=4
5/24-36/7 x 49/3-(49/3) *Đây là phân số.*
a) x - 10/3 = 7/15 . 3/5
b) x + 3/22 = 27/121 . 9/11
c) 8/23 . 46/24 - x = 1/3
d) 1 - x = 49/65 . 5/7
a: \(x-\dfrac{10}{3}=\dfrac{7}{15}\cdot\dfrac{3}{5}\)
=>\(x-\dfrac{10}{3}=\dfrac{21}{75}=\dfrac{7}{25}\)
=>\(x=\dfrac{7}{25}+\dfrac{10}{3}=\dfrac{21+250}{75}=\dfrac{271}{75}\)
b: \(x+\dfrac{3}{22}=\dfrac{27}{121}\cdot\dfrac{9}{11}\)
=>\(x+\dfrac{3}{22}=\dfrac{243}{1331}\)
=>\(x=\dfrac{243}{1331}-\dfrac{3}{22}=\dfrac{123}{2662}\)
c: \(\dfrac{8}{23}\cdot\dfrac{46}{24}-x=\dfrac{1}{3}\)
=>\(\dfrac{8}{24}\cdot\dfrac{46}{23}-x=\dfrac{1}{3}\)
=>\(\dfrac{2}{3}-x=\dfrac{1}{3}\)
=>\(x=\dfrac{2}{3}-\dfrac{1}{3}=\dfrac{1}{3}\)
d: \(1-x=\dfrac{49}{65}\cdot\dfrac{5}{7}\)
=>\(1-x=\dfrac{49}{7}\cdot\dfrac{5}{65}=\dfrac{7}{13}\)
=>\(x=1-\dfrac{7}{13}=\dfrac{6}{13}\)
Tính
\(1,8.1\frac{1}{24}-\left(25-24\frac{17}{49}\right):\frac{16}{49}\)
\(1,8\cdot1\frac{1}{24}-\left(25-24\frac{17}{49}\right):\frac{16}{49}\)
\(=1,8\cdot\frac{25}{24}-\left(25-24+\frac{17}{49}\right):\frac{16}{49}\)
\(=\frac{15}{8}-\frac{66}{49}:\frac{16}{49}\)
\(=\frac{15}{8}-\frac{33}{8}=\frac{-9}{4}\)