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1/3+1/5 < 1/3 : 1/5
1/3-1/4 =1/3 * 1/4
11/12-11/12 < 2/3-1/4
1/3+1/5<1/3 : 1/5
1/3-1/4=1/3 * 1/4
11/12-11/12<2/3-1/4
a. 5/12+(7/59+7/12)
=5/12+497/708
=66/59
b.(7/30+5/16)+(1/16-7/30)
=131/240+(-41/240)
=3/8
a) \(\frac{5}{12}+\left(\frac{7}{59}+\frac{7}{12}\right)\)
\(=\frac{5}{12}+\frac{7}{59}+\frac{7}{12}\)
\(=\left(\frac{5}{12}+\frac{7}{12}\right)+\frac{7}{59}\)
\(=1\frac{7}{59}\)
b) \(\left(\frac{7}{30}+\frac{5}{16}\right)+\left(\frac{1}{16}-\frac{7}{30}\right)\)
\(=\frac{7}{30}+\frac{5}{16}+\frac{1}{16}-\frac{7}{30}\)
\(=\frac{6}{16}=\frac{3}{8}\)
c) \(\frac{3}{5.9}+\frac{3}{9.13}+\frac{3}{13.17}+...+\frac{3}{2013.2017}\)
\(=\frac{3}{4}\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+\frac{1}{13}-\frac{1}{17}+...+\frac{1}{2013}-\frac{1}{2017}\right)\)
\(=\frac{3}{4}\left(\frac{1}{5}-\frac{1}{2017}\right)\)
\(=\frac{1509}{10085}\)
\(\frac{2}{3}+\frac{1}{4}+\frac{1}{12}=\frac{8}{12}+\frac{3}{12}+\frac{1}{12}=\frac{12}{12}=1\)
\(\frac{4}{5}-\frac{1}{2}-\frac{1}{4}=\frac{16}{20}-\frac{10}{20}-\frac{5}{20}=\frac{1}{20}\)
\(\frac{6}{7}\times\frac{5}{8}\times\frac{14}{15}=\frac{6\times5\times14}{7\times8\times15}=\frac{2\times3\times5\times2\times7}{7\times2\times2\times2\times5\times3}=\frac{1}{2}\)
\(\frac{12}{35}-\frac{4}{7}\times\frac{1}{6}=\frac{12}{35}-\frac{4}{42}=\frac{26}{105}\)
Ko viết lại đề bài nha:
= 1/5 * (1/12 - 1/12)
= 1/5 * 0
= 0
1/5.1/12-1/5.1/12
=1/60-1/60
=0