a) \(x=\dfrac{1}{4}+\dfrac{2}{13}\)
=> \(x=\dfrac{13}{52}+\dfrac{8}{52}\)
=> \(x=\dfrac{21}{52}\)
b) \(\dfrac{x}{3}=\dfrac{2}{3}+\dfrac{-1}{7}\)
=> \(\dfrac{x}{3}=\dfrac{14}{21}+\dfrac{-3}{21}\)
=> \(\dfrac{x}{3}=\dfrac{11}{21}\)
=> \(x=\dfrac{11}{21}\)x \(3\)
=> \(x=\dfrac{11}{7}\)
tìm x, biết:
e) \(\dfrac{2}{7-x}\)=\(\dfrac{18}{45}\) f)\(\dfrac{2x+3}{3}\)=\(\dfrac{50}{15}\) g)\(2\dfrac{x}{7}\)=\(\dfrac{75}{35}\) h)\(2\dfrac{3}{x}\)=\(\dfrac{13}{x}\)(x khác 0)
bài 45: Tìm x, biết:
a) x=\(\dfrac{-1}{2}+\dfrac{3}{4}\); b) \(\dfrac{x}{5}=\dfrac{5}{6}+\dfrac{-19}{30}\)
Tìm \(x\) biết :
a) \(x=\dfrac{-1}{2}+\dfrac{3}{4}\)
b) \(\dfrac{x}{5}=\dfrac{5}{6}+\dfrac{-19}{30}\)
\(\dfrac{x}{2}\)-(\(\dfrac{3x}{5}\)-\(\dfrac{13}{5}\))=-(\(\dfrac{7}{5}\)+\(\dfrac{7}{10}\).\(x\))
\(\dfrac{2x-3}{3}\)+\(\dfrac{-3}{2}\)=\(\dfrac{5-3x}{6}\)-\(\dfrac{1}{3}\)
\(\dfrac{2}{3x}\)-\(\dfrac{3}{12}\)=\(\dfrac{4}{5}-\left(\dfrac{7}{x}-2\right)\)
f) \(\dfrac{x+1}{x-3}=\dfrac{x+7}{x-2}\)
tìm x biết \(\dfrac{-15}{41}+\dfrac{-138}{41}\le x\le\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{6}\)
Bài 1: \(\dfrac{x}{5}\)=\(\dfrac{100}{x}\) với x=0
Bài 2: Cho biểu thức A= \(\dfrac{x-7}{x+6}\)
a. Tìm điều kiện của cá số nguyên x để biểu thưc Alà phân số.
b. Tìm các số nguyên x để biểu thức A có giá trị là số nguyên
Bài 3:Cộng các phân số sau ( tính nhanh nếu có tích )
a) \(\dfrac{-6}{7}\)+\(\dfrac{5}{3}\) b) \(\dfrac{-9}{10}\)+\(\dfrac{5}{-9}\) c) \(\dfrac{6}{12}\)+\(\dfrac{-8}{22}\)
d) \(\dfrac{-7}{-15}\)+\(\dfrac{3}{-4}\) e) \(\dfrac{11}{24}\)+ ( \(\dfrac{-35}{24}\)+1)
Điền dấu thích hợp ( >, <, =) vào ô vuông :
a) \(\dfrac{-4}{7}+\dfrac{3}{-7}.......-1\)
b) \(\dfrac{-15}{22}+\dfrac{-3}{22}......\dfrac{-8}{11}\)
c) \(\dfrac{3}{5}.....\dfrac{2}{3}+\dfrac{-1}{5}\)
d) \(\dfrac{1}{6}+\dfrac{-3}{4}.......\dfrac{1}{14}+\dfrac{-4}{7}\)
TÍNH NHANH:
A=\(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+...+\dfrac{1}{9900}\)
B=\(\dfrac{1}{3}+\dfrac{1}{15}+\dfrac{1}{35}+\dfrac{1}{63}+...+\dfrac{1}{95}\)
C=\(\dfrac{1}{8}+\dfrac{1}{24}+\dfrac{1}{48}+...+\dfrac{1}{9800}\)
*D=\(\dfrac{2}{3.5}+\dfrac{3}{5.8}+\dfrac{11}{8.19}+\dfrac{13}{19.32}+\dfrac{25}{32.57}+\dfrac{30}{57.87}\)