Tính nhanh
\(-\frac{3}{7}+\frac{5}{13}+-\frac{4}{7}\)
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= 1/3 - 1/3 + 5/7 - 5/7 - 7/9 + 7/9 +9/11 - 9/11 -11/13 + 11/13 +13/15
= 0 + 0 - 0 + 0 -0 + 13/15
= 0 + 13/15
= 13/15
\(\frac{1}{3}-\frac{3}{5}+\frac{5}{7}-\frac{7}{9}+\frac{9}{11}-\frac{11}{13}+\frac{13}{15}+\frac{11}{13}-\frac{9}{11}+\frac{7}{9}-\frac{5}{7}+\frac{3}{5}-\frac{1}{3}\)
\(=\left(\frac{1}{3}-\frac{1}{3}\right)+\left(\frac{3}{5}-\frac{3}{5}\right)+\left(\frac{5}{7}-\frac{5}{7}\right)+\left(\frac{7}{9}-\frac{7}{9}\right)+\left(\frac{9}{11}-\frac{9}{11}\right)+\left(\frac{11}{13}-\frac{11}{13}\right)+\frac{13}{15}\)
\(=0+0+0+0+0+0+\frac{13}{15}\)
\(=\frac{13}{15}\)
[3.(1/4-1/5+1/7+1/11)] / [13.(1/4-1/5+1/7+1/11)]
=3/13
tk tui nha
\(A=21\frac{4}{11}-\left(1\frac{3}{5}+7\frac{4}{11}\right)\)
\(A=\frac{235}{11}-\left(\frac{8}{5}+\frac{81}{11}\right)\)
\(A=\left(\frac{235}{11}-\frac{81}{11}\right)+\frac{8}{5}\)
\(A=\frac{154}{11}+\frac{8}{5}\)
\(\Rightarrow A=\frac{78}{5}\)
\(B=\left(7\frac{8}{9}+2\frac{3}{13}\right)-\left(4\frac{8}{9}-7\frac{10}{13}\right)\)
\(B=\left(\frac{71}{9}+\frac{29}{13}\right)-\left(\frac{44}{9}-\frac{101}{13}\right)\)
\(B=\left(\frac{71}{9}-\frac{44}{9}\right)+\left(\frac{29}{13}-\frac{101}{13}\right)\)
\(B=\frac{27}{9}+\frac{-72}{13}\)
\(B=3+\frac{-72}{13}\)
\(\Rightarrow B=\frac{-33}{13}\)
P/s: Hoq chắc :v
a)\(\frac{2}{5}+\left(\frac{3}{11}+\frac{-2}{5}\right)\)
\(=\frac{2}{5}+\frac{3}{11}+\frac{-2}{5}\)
\(=\left(\frac{2}{5}+\frac{-2}{5}\right)+\frac{3}{11}\)
\(=0+\frac{3}{11}\)
\(=\frac{3}{11}\)
b)\(\frac{-5}{7}.\frac{4}{13}+\frac{-5}{7}.\frac{9}{13}+\frac{-2}{7}\)
\(=\frac{-5}{7}.\left(\frac{4}{13}+\frac{9}{13}\right)+\frac{-2}{7}\)
\(=\frac{-5}{7}.1+\frac{-2}{7}\)
\(=\frac{-5}{7}+\frac{-2}{7}\)
\(=\frac{-7}{7}=-1\)
Mình có lược bỏ một số bước tính nha.
CHÚC BẠN HỌC GIỎI!
a) \(\frac{2}{5}+\left(\frac{3}{11}+\frac{-2}{5}\right)\)
\(=\frac{2}{5}+\frac{3}{11}+\frac{-2}{5}\)
\(=\left(\frac{2}{5}+\frac{-2}{5}\right)+\frac{3}{11}\)
\(=0+\frac{3}{11}\)
\(=\frac{3}{11}\)
b) \(\frac{-5}{7}.\frac{4}{13}+\frac{-5}{7}.\frac{9}{13}+\frac{-2}{7}\)
\(=\frac{-5}{7}\left(\frac{4}{13}+\frac{9}{13}\right)+\frac{-2}{7}\)
\(=\frac{-5}{7}.1+\frac{-2}{7}\)
\(=\frac{-5}{7}+\frac{-2}{7}\)
\(=-1\)
\(=\left(\frac{1}{5}-\frac{1}{5}\right)+\left(\frac{3}{7}-\frac{3}{7}\right)+\left(\frac{5}{9}-\frac{5}{9}\right)+\left(\frac{2}{11}-\frac{2}{11}\right)+\left(\frac{7}{13}-\frac{7}{13}\right)+\frac{9}{16}\)
= 0 + \(\frac{9}{16}\)
= \(\frac{9}{16}\)
tick nha bn
\(B=\frac{1}{5}-\frac{3}{7}+\frac{5}{9}-\frac{2}{11}+\frac{7}{13}-\frac{9}{16}-\frac{7}{13}+\frac{2}{11}-\frac{5}{9}+\frac{3}{7}-\frac{1}{5}\)
\(=\left(\frac{1}{5}-\frac{1}{5}\right)+\left(-\frac{3}{7}+\frac{3}{7}\right)+\left(\frac{5}{9}-\frac{5}{9}\right)+\left(-\frac{2}{11}+\frac{2}{11}\right)+\left(\frac{7}{13}-\frac{7}{13}\right)-\frac{9}{16}\)
\(=0+0+0+0+0-\frac{9}{16}\)
\(=-\frac{9}{16}\)
^...^ ^_^
\(-\frac{3}{7}+\frac{5}{13}+-\frac{4}{7}\)
\(=\left(-\frac{3}{7}+-\frac{4}{7}\right)+\frac{5}{13}\)
\(=\frac{\left(-3\right)+\left(-4\right)}{7}+\frac{5}{13}\)
\(=\left(-1\right)+\frac{5}{13}\)
\(=\frac{8}{13}\)
ỦNG HỘ NHA CẢ NHÀ !! TK MK MK TK LẠI !! ~~~
bằng 8/13