Rút gọn rồi tính
\(\frac{8}{5}\)- \(\frac{18}{27}\)
\(\frac{12}{20}\)-\(\frac{6}{18}\)
\(\frac{8}{24}\)-\(\frac{5}{25}\)
\(\frac{18}{21}\)-\(\frac{12}{27}\)
Bài 1: Rút gọn rồi tính.
a) \(\frac{8}{5}-\frac{18}{27}\) b) \(\frac{18}{21}-\frac{12}{27}=\) c) \(\frac{8}{24}-\frac{5}{25}=\) d) \(\frac{12}{20}-\frac{6}{18}=\)
a) \(\frac{8}{5}-\frac{18}{27}=\frac{8}{5}-\frac{2}{3}\)
\(\Rightarrow\frac{8}{5}-\frac{2}{3}=\frac{24}{15}-\frac{10}{15}\)
\(\Rightarrow\frac{14}{15}\)
b) \(\frac{18}{21}-\frac{12}{27}=\frac{6}{7}-\frac{4}{9}\)
\(\Rightarrow\frac{6}{7}-\frac{4}{9}=\frac{54}{63}-\frac{28}{63}\)
\(\Rightarrow\frac{26}{63}\)
c) \(\frac{8}{24}-\frac{5}{25}=\frac{1}{3}-\frac{1}{5}\)
\(\Rightarrow\frac{1}{3}-\frac{1}{5}=\frac{5}{15}-\frac{3}{15}\)
\(\Rightarrow\frac{2}{15}\)
d) \(\frac{12}{20}-\frac{6}{18}=\frac{3}{5}-\frac{1}{3}\)
\(\Rightarrow\frac{3}{5}-\frac{1}{3}=\frac{9}{15}-\frac{5}{15}\)
\(\Rightarrow\frac{4}{15}\)
2.RÚT GỌN RỒI TÍNH.
\(\frac{24}{36}\)- \(\frac{6}{18}\)
\(\frac{18}{27}\)-\(\frac{2}{6}\)
\(\frac{2}{15}\)-\(\frac{5}{35}\)
\(\frac{15}{25}\)- \(\frac{3}{21}\)
4/9-1/3=4/9-3/9=19
2/3-1/3=1/3
2/15-1/7=14/105-15/105=-/105
3/7-1/7=2/7
ai thấy đúng thì k nhé mình đang âm
Tính giá trị biểu thức
\(1.A=\frac{1}{5}+\frac{3}{17}-\frac{4}{3}+\left(\frac{4}{5}-\frac{3}{17}+\frac{1}{3}\right)-\frac{1}{7}+\left[\frac{-14}{30}\right]\)
\(2.B=\left(\frac{5}{8}-\frac{4}{12}+\frac{3}{2}\right)-\left(\frac{5}{8}+\frac{9}{13}\right)-\left[\frac{-3}{2}\right]+\frac{7}{-15}\)
\(3.C=\frac{5}{18}+\frac{8}{19}-\frac{7}{21}+\left(\frac{-10}{36}+\frac{11}{19}+\frac{1}{3}\right)-\frac{5}{8}\)
\(4.D=\frac{1}{9}-\left[\frac{-5}{23}\right]-\left(\frac{-5}{23}+\frac{1}{9}+\frac{25}{7}\right)+\frac{50}{14}-\frac{7}{30}\)
\(5.E=\frac{1}{13}+\left(\frac{-5}{18}-\frac{1}{13}+\frac{12}{17}\right)+\left(\frac{12}{17}+\frac{5}{18}+\frac{7}{5}\right)\)
\(6.F=\frac{15}{14}-\left(\frac{17}{23}-\frac{80}{87}+\frac{5}{4}\right)+\left(\frac{12}{17}-\frac{15}{14}+\frac{1}{4}\right)\)
\(7.G=\frac{1}{25}-\frac{4}{27}+\left(\frac{-23}{27}+\frac{-1}{25}-\frac{5}{43}\right)+\frac{5}{43}-\frac{4}{7}\)
\(8.H=\frac{4}{15}-\frac{23}{28}-\left(\frac{-23}{28}+\frac{-11}{15}-\frac{29}{27}\right)-\frac{2}{27}\)
\(9.K=\frac{1}{16}-\frac{5}{21}+\left(\frac{-1}{16}+\frac{-3}{5}-\frac{-5}{21}\right)+\frac{-2}{5}+\frac{3}{4}\)
\(10.L=\frac{7}{12}+\frac{15}{14}-\left(\frac{14}{22}+\frac{-1}{14}+\frac{5}{21}\right)-\frac{-5}{21}+\frac{3}{5}\)
yutyugubhujyikiu
bài 1:thực hiện phép tính :
a)\(\frac{3}{7}+\frac{5}{13}+\frac{4}{13}\)
b)\(\left(\frac{3}{8}+\frac{-3}{4}+\frac{7}{12}\right):\frac{5}{6}+\frac{1}{2}\)
c)\(\frac{2}{5}.\frac{1}{3}-\frac{2}{15}:\frac{1}{5}+\frac{3}{5}.\frac{1}{3}\)
d)\(\left(4-\frac{5}{12}\right):2+\frac{5}{24}\)
e)\(\frac{7}{19}.\frac{8}{11}+\frac{3}{11}.\frac{7}{19}+\frac{-1}{19}\)
f)\(\frac{9}{27}+\frac{8}{24}+\frac{18}{27}-\frac{-16}{24}+\frac{2}{3}\)
g)\(\frac{-5}{21}+\frac{-2}{21}+\frac{8}{24}\)
h)\(\frac{-5}{9}+\frac{8}{15}+\frac{-2}{11}+\frac{4}{-9}+\frac{7}{15}\)
i)\(\frac{7}{25}.\frac{39}{-14}.\frac{50}{78}\)
m.n làm nhanh cho mình nhé, chiều mình phải nộp rồi! cảm ơn m.n!
a) Trong các số sau, những phân số nào biểu diễn số hữu tỉ \(\frac{{ - 5}}{9}\)?
\(\frac{{ - 10}}{{18}};\,\frac{{10}}{{18}};\,\frac{{15}}{{ - 27}};\, - \frac{{20}}{{36}};\,\frac{{ - 25}}{{27}}.\)
b) Tìm số đối của mỗi số sau: \(12;\,\frac{{ 4}}{9};\, - 0,375;\,\frac{0}{5};\,-2\frac{2}{5}.\)
a) Ta có:
\(\begin{array}{l}\frac{{ - 10}}{{18}} =\frac{{ - 10:2}}{{18:2}} = \frac{{ - 5}}{9};\,\,\,\\\frac{{10}}{{18}} = \frac{{10:2}}{{18:2}} =\frac{5}{9};\,\,\\\,\frac{{15}}{{ - 27}} =\frac{{15:(-3)}}{{ - 27:(-3)}} = \frac{{ - 5}}{9};\,\\ - \frac{{20}}{{36}} =- \frac{{20:4}}{{36:4}}= \frac{{ - 5}}{9}.\end{array}\)
Vậy những phân số nào biểu diễn số hữu tỉ \(\frac{{ - 5}}{9}\) là: \(\frac{{ - 10}}{{18}};\,\frac{{15}}{{ - 27}};\, - \frac{{20}}{{36}}.\)
b) Số đối của các số \(12;\,\frac{{ 4}}{9};\, - 0,375;\,\frac{0}{5};\,-2\frac{2}{5}\) lần lượt là: \( - 12;\,\frac{-4}{9};\,0,375;\,\frac{0}{5};\, 2\frac{2}{5}\).
Bt1) Tính
a) \(\frac{2}{15}+\frac{5}{-12}-\frac{5}{18}\)
b)\(-3-\frac{-2}{9}-\frac{5}{-27}\)
c)\(\frac{7}{36}-\frac{5}{24}+\frac{3}{-18}\)
d)\(\frac{5}{4}-\frac{5}{8}+\frac{-2}{3}\)
RÚT GỌN PHÂN SỐ SAU: \(\frac{-63}{108};\frac{-33}{-77};\frac{-5}{10};\frac{14}{63};\frac{-15}{25};\frac{-45}{18};\frac{12}{15};\frac{20}{25};\frac{31}{12}\)
\(\frac{-63}{108}\)= \(\frac{-7}{12}\)
\(\frac{-33}{-77}\)= \(\frac{3}{7}\)
\(\frac{-5}{10}\)=\(\frac{-1}{2}\)
\(\frac{14}{63}\)=\(\frac{2}{9}\)
\(\frac{-15}{25}\)=\(\frac{-3}{5}\)
\(\frac{-45}{18}\)=\(\frac{-5}{2}\)
\(\frac{12}{15}\)=\(\frac{4}{5}\)
\(\frac{20}{25}\)=\(\frac{4}{5}\)
\(\frac{31}{12}\):Là phân số tối giản
t.i.c.k nha
Bài 1:
a, \(\frac{2}{5}.\frac{1}{3}-\frac{2}{15}:\frac{1}{5} +\frac{3}{5}.\frac{1}{3}\)
b, \(\frac{9}{27}+\frac{8}{24}+\frac{18}{27}-\frac{-16}{24}+\frac{2}{3}\)
c,\(\left(4-\frac{5}{12}\right):2+\frac{5}{24}\)
a) -1/3
b)8/3
c)2
k cho mk nha mk cảm ơn nhiều
Rút gọn các biểu thức
\(B=\frac{9\sqrt{5}+3\sqrt{27}}{\sqrt{5}+\sqrt{3}} \)
\(C=\frac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+4}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
\(D=\frac{3\sqrt{8}-2\sqrt{12}+20}{3\sqrt{18}-2\sqrt{27}+\sqrt{45}}\)
\(B=\frac{9\sqrt{5}+3\sqrt{27}}{\sqrt{5}+\sqrt{3}}=\frac{9\sqrt{5}+9\sqrt{3}}{\sqrt{5}+\sqrt{3}}=\frac{9\left(\sqrt{5}+\sqrt{3}\right)}{\sqrt{5}+\sqrt{3}}=9\)
\(C=\frac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+4}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
\(=\frac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+\sqrt{4}+\sqrt{4}}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
\(=\frac{\left(\sqrt{2}+\sqrt{3}+\sqrt{4}\right)+\sqrt{2}.\left(\sqrt{2}+\sqrt{3}+\sqrt{4}\right)}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
\(=\frac{\left(\sqrt{2}+\sqrt{3}+\sqrt{4}\right)\left(\sqrt{2}+1\right)}{\sqrt{2}+\sqrt{3}+\sqrt{4}}=\sqrt{2}+1\)
mik chỉnh lại đề
\(D=\frac{3\sqrt{8}-2\sqrt{12}+\sqrt{20}}{3\sqrt{18}-2\sqrt{27}+\sqrt{45}}=\frac{6\sqrt{2}-4\sqrt{3}+2\sqrt{5}}{9\sqrt{2}-6\sqrt{3}+3\sqrt{5}}\)
\(=\frac{2\left(3\sqrt{2}-2\sqrt{3}+\sqrt{5}\right)}{3\left(3\sqrt{2}-2\sqrt{3}+\sqrt{5}\right)}=\frac{2}{3}\)