3/11 và 4/13
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a: \(=11+\dfrac{3}{13}-2-\dfrac{4}{7}-5-\dfrac{3}{13}=4-\dfrac{4}{7}=\dfrac{24}{7}\)
b: \(=\dfrac{11}{2}\cdot\dfrac{15}{4}=\dfrac{165}{8}\)
c: \(=10+\dfrac{2}{9}+2+\dfrac{3}{5}-6-\dfrac{2}{9}=6+\dfrac{3}{5}=\dfrac{33}{5}\)
d: \(=6+\dfrac{4}{9}+3+\dfrac{7}{11}-4-\dfrac{4}{9}=5+\dfrac{7}{11}=\dfrac{62}{11}\)
có công mài sắc có ngày nên kim.
( quên kiến thức lớp 4 rồi)
3: \(=\dfrac{13}{5}\left(-\dfrac{3}{14}+\dfrac{2}{5}+\dfrac{-11}{14}+\dfrac{3}{5}\right)\)
=0
\(\dfrac{-4}{3}-\dfrac{5}{7}+\dfrac{4}{3}=\left(\dfrac{4}{3}+\dfrac{-4}{3}\right)-\dfrac{5}{7}=0-\dfrac{5}{7}=-\dfrac{5}{7}\)
\(\dfrac{3}{13}\cdot\dfrac{6}{11}+\dfrac{3}{13}\cdot\dfrac{9}{11}-\dfrac{3}{13}\cdot\dfrac{4}{11}=\dfrac{3}{13}\cdot\left(\dfrac{6}{11}+\dfrac{9}{11}-\dfrac{4}{11}\right)=\dfrac{3}{13}\cdot1=\dfrac{3}{13}\)
Cách 1
A=\(11\frac{3}{13}-\left(3\frac{4}{7}+6\frac{3}{13}\right)\)
A=\(\frac{146}{13}-\left(\frac{25}{7}+\frac{81}{13}\right)\)
A=\(\frac{146}{13}-\frac{892}{91}\)
A=\(\frac{10}{7}\)
Cách 2
A=\(\frac{146}{13}-\left(\frac{25}{7}+\frac{81}{13}\right)\)
A=\(\frac{146}{13}-\frac{25}{7}-\frac{81}{13}\)
A=\(\left(\frac{146}{13}-\frac{81}{13}\right)-\frac{25}{7}\)
A=\(5-\frac{25}{7}\)
A=\(\frac{10}{7}\)
\(a,\dfrac{-1}{7}+\dfrac{8}{13}+\dfrac{-6}{7}-1\dfrac{23}{24}-\dfrac{-5}{13}\\ =\dfrac{-1}{7}+\dfrac{8}{13}+\dfrac{-6}{7}-\dfrac{47}{24}+\dfrac{5}{13}\\ =\left(\dfrac{-1}{7}+\dfrac{-6}{7}\right)+\left(\dfrac{8}{13}+\dfrac{5}{13}\right)-\dfrac{47}{24}\\ =-1+1-\dfrac{47}{24}\\ =0-\dfrac{47}{24}\\ =\dfrac{-47}{24}\)
\(b,\left(7\dfrac{4}{9}+4\dfrac{7}{11}\right)-3\dfrac{4}{9}\\ =7\dfrac{4}{9}+4\dfrac{7}{11}-3\dfrac{4}{9}\\ =\left(7\dfrac{4}{9}-3\dfrac{4}{9}\right)+4\dfrac{7}{11}\\ =4+4\dfrac{7}{11}\\ =\dfrac{44}{11}+\dfrac{51}{11}\\ =\dfrac{95}{11}\)
\(3\dfrac{1}{3}.x+11\dfrac{3}{4}=\left(-13,25\right)\)
\(\dfrac{10}{3}.x+\dfrac{47}{4}=\dfrac{-53}{4}\)
\(\dfrac{10}{3}.x=\dfrac{-53}{4}-\dfrac{47}{4}\)
\(\dfrac{10}{3}.x=-25\)
\(x=-25:\dfrac{10}{3}\)
\(x=\dfrac{-15}{2}\)
3/11 + 4/13 = 3/11 =39/169; 4/13= 52 / 169
Vậy 3/11 < 4/13
Học vui vẻ nhé bạn !