Tính nhanh:
\(\frac{-15}{29}+\frac{7}{-13}-1\frac{2}{13}:\frac{29}{31}+\frac{15}{29}.\frac{-5}{13}\)
Những câu hỏi liên quan
Tính
a/ \(A=17\frac{2}{31}-\left(\frac{15}{17}+6\frac{2}{31}\right)\)
b/ \(B=\left(31\frac{6}{13}+5\frac{9}{41}\right)-36\frac{6}{13}\)
c/ \(C=27\frac{51}{59}-\left(7\frac{51}{59}-\frac{1}{3}\right)\)
d/ \(D=\left(13\frac{29}{31}-3\frac{7}{8}\right)-\left(2\frac{28}{31}-4\right)\)
\(A=17\frac{2}{31}-\left(\frac{15}{17}+6\frac{2}{31}\right)=\left(17\frac{2}{31}-6\frac{2}{31}\right)-\frac{15}{17}=11-\frac{15}{17}=10+\left(1-\frac{15}{17}\right)=10\frac{2}{17}\)
Đúng 0
Bình luận (5)
\(B=\left(31\frac{6}{13}-36\frac{6}{13}\right)+5\frac{9}{41}=-5+5\frac{9}{41}=\frac{9}{41}\)
C=\(\left(27\frac{51}{59}-7\frac{51}{59}\right)+\frac{1}{3}=20+\frac{1}{3}=20\frac{1}{3}\)
\(D=\left(13\frac{29}{31}-2\frac{28}{31}\right)+\left(4-3\frac{7}{8}\right)=11\frac{1}{31}+\frac{1}{8}=11\frac{8+31}{31.8}=11\frac{39}{248}\)
Đúng 0
Bình luận (0)
Tính giá trị của các biểu thức sau bằng cách hợp lý nhất :
a)\(\left(4\frac{5}{37}-3\frac{4}{5}+8\frac{15}{29}\right)-\left(3\frac{5}{37}-6\frac{14}{29}\right)\)
b)\(60\frac{7}{13}x+50\frac{8}{13}x-11\frac{2}{13}x\)với \(x=-8\frac{7}{10}\)
Tính:
\(\frac{\frac{-6}{7}+\frac{6}{13}-\frac{6}{29}}{\frac{9}{7}-\frac{9}{13}+\frac{9}{29}}\)
\(=\frac{-6\left(\frac{1}{7}-\frac{1}{13}+\frac{1}{29}\right)}{9\left(\frac{1}{7}-\frac{1}{13}+\frac{1}{29}\right)}=\frac{-6}{9}=-\frac{2}{3}\)
Đúng 0
Bình luận (0)
Tính:
a) \(\left(31\frac{6}{13}+5\frac{9}{41}\right)-36\frac{6}{13}\)
b) \(\left(17\frac{29}{31}-3\frac{7}{8}\right)-\left(2\frac{28}{31}-4\right)\)
a, \(\left(31\frac{6}{13}+5\frac{9}{41}\right)-36\frac{6}{13}=31\frac{6}{16}+5\frac{9}{41}-36\frac{6}{13}\)
\(=\left(31\frac{6}{16}-31\frac{6}{16}\right)+5\frac{9}{41}\)
\(=0+5\frac{9}{41}=5\frac{9}{41}\)
b, \(\left(17\frac{29}{31}-3\frac{7}{8}\right)-\left(2\frac{28}{31}-4\right)=17\frac{9}{31}-3\frac{7}{8}-2\frac{28}{31}+4\)
Đúng 0
Bình luận (0)
Không qui đồng hãy tính tổng sau bằng cách nhanh nhất
a, 5\(\frac{1}{12}\)+ 6\(\frac{11}{12}\)+9\(\frac{2}{13}\)
b, 6\(\frac{11}{29}\)+\(\frac{7}{15}\)+2\(\frac{18}{29}\)
\(\frac{x-1}{13}+\frac{2x-13}{15}=\frac{3x-15}{27}+\frac{4x-27}{29}\) Giải Pt trên
Giải phương trình \(\frac{x+19}{27}-\frac{x+17}{29}=\frac{x+15}{31}-\frac{x+13}{33}\)
Bài làm
\(\frac{x+19}{27}-\frac{x+17}{29}=\frac{x+15}{31}-\frac{x+13}{33}\)
\(\Leftrightarrow\left(\frac{x+19}{27}+1\right)-\left(\frac{x+17}{29}+1\right)=\left(\frac{x+15}{31}+1\right)-\left(\frac{x+13}{33}+1\right)\)
\(\Leftrightarrow\frac{x+46}{27}-\frac{x+46}{29}=\frac{x+46}{31}-\frac{x+46}{33}\)
\(\Leftrightarrow\left(x+46\right).\frac{1}{27}-\left(x+46\right).\frac{1}{29}=\left(x+46\right).\frac{1}{31}-\left(x+46\right).\frac{1}{33}\)
\(\Leftrightarrow\left(x+46\right).\frac{1}{27}-\left(x+46\right).\frac{1}{29}-\left(x+46\right).\frac{1}{31}+\left(x+46\right).\frac{1}{33}=0\)
\(\Leftrightarrow\left(x+46\right)\left(\frac{1}{27}-\frac{1}{29}-\frac{1}{31}\right)=0\)
Mà \(\left(\frac{1}{27}-\frac{1}{29}-\frac{1}{31}\right)>0\forall x\)
\(\Leftrightarrow x+46=0\)
\(\Leftrightarrow x=-46\)
Vậy phương trình trên có tập nghiệm S = { -46 }
# Học tốt #
Tính nhanh: \(18\frac{13}{15}-36\frac{29}{30}+19\frac{1}{10}\)
\(18\frac{13}{15}-36\frac{29}{30}+19\frac{1}{10}\)
= \(18+\frac{13}{15}-36-\frac{29}{30}+19+\frac{1}{10}\)
= \(\left(18-36+19\right)+\left(\frac{13}{15}-\frac{29}{30}+\frac{1}{10}\right)\)
= \(1+\left(\frac{26}{30}-\frac{29}{30}+\frac{3}{30}\right)\)
= \(1+0\)
= \(0\)
Đúng 0
Bình luận (4)
\(\frac{13}{29}.\left(\frac{29}{5}-\frac{45}{8}\right)-\frac{45}{8}.\left(\frac{9}{8}-\frac{13}{29}\right)\)