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\(\dfrac{2}{5}< \dfrac{3}{7}\)
\(\dfrac{2}{7}< \dfrac{4}{9}\)
\(\dfrac{5}{8}< \dfrac{8}{5}\)
\(\dfrac{11}{18}< \dfrac{5}{6}\)
\(\dfrac{7}{8}< \dfrac{11}{12}\)
\(a,\dfrac{2}{7}+\dfrac{1}{4}=\dfrac{8}{28}+\dfrac{7}{28}=\dfrac{15}{28}\\ b,\dfrac{3}{5}+\dfrac{3}{8}=\dfrac{3.8}{5.8}+\dfrac{3.5}{5.8}=\dfrac{6}{5}\\ c,=\dfrac{4.3}{9.3}+\dfrac{10}{27}=\dfrac{12+10}{27}=\dfrac{22}{27}\\ d,=\dfrac{2.3}{3.3}+\dfrac{7}{9}=\dfrac{6+7}{9}=\dfrac{13}{9}\\ e,=\dfrac{5.5}{12.5}+\dfrac{7.4}{15.4}=\dfrac{25+28}{60}=\dfrac{53}{60}\)
\(\dfrac{2}{7}+\dfrac{1}{4}=\dfrac{8}{28}+\dfrac{7}{28}=\dfrac{15}{28};\dfrac{3}{5}+\dfrac{3}{8}=\dfrac{24}{40}+\dfrac{15}{40};\dfrac{4}{9}+\dfrac{10}{27}=\dfrac{12}{27}+\dfrac{10}{27}=\dfrac{22}{27};\dfrac{2}{3}+\dfrac{7}{9}=\dfrac{18}{27}+\dfrac{21}{27}=\dfrac{39}{27};\dfrac{5}{12}+\dfrac{7}{15}=\dfrac{75}{180}+\dfrac{84}{180}=\dfrac{159}{180}\)
\(=\dfrac{145\cdot100-143\cdot100}{100\cdot113-100\cdot112}=2\)
Bài \(5\) : Tính
\(\dfrac{8}{15}-\dfrac{2}{5}=\dfrac{8}{15}-\dfrac{6}{15}=\dfrac{2}{15}\)
\(\dfrac{1}{3}-\dfrac{1}{4}=\dfrac{4}{12}-\dfrac{3}{12}=\dfrac{1}{12}\)
\(\dfrac{1}{4}-\dfrac{1}{5}=\dfrac{5}{20}-\dfrac{4}{20}=\dfrac{1}{20}\)
\(3-\dfrac{1}{3}=\dfrac{3}{1}-\dfrac{1}{3}=\dfrac{3}{3}-\dfrac{1}{3}=\dfrac{2}{3}\)
Bài 6 : Rút gọn rồi tính
\(a,\dfrac{5}{10}=\dfrac{1}{2}\)
\(\dfrac{1}{2}-\dfrac{2}{15}=\dfrac{15}{30}-\dfrac{4}{30}=\dfrac{11}{30}\)
\(b,\dfrac{5}{20}=\dfrac{1}{4}\)
\(\dfrac{1}{4}-\dfrac{1}{9}=\dfrac{9}{36}-\dfrac{4}{36}=\dfrac{5}{36}\)
\(c,\dfrac{6}{18}=\dfrac{1}{3}\) \(\dfrac{6}{24}=\dfrac{1}{4}\)
\(\dfrac{1}{3}-\dfrac{1}{4}=\dfrac{4}{12}-\dfrac{3}{12}=\dfrac{1}{12}\)
\(d,\dfrac{3}{12}=\dfrac{1}{4}\)
\(\dfrac{5}{9}-\dfrac{1}{4}=\dfrac{20}{36}-\dfrac{9}{36}=\dfrac{11}{36}\)
Ta có:
\(\dfrac{42-a}{87-a}=\dfrac{4}{9}\)
\(9\left(42-a\right)=4\left(87-a\right)\)
\(378-9a=348-4a\)
\(-5a=-30\)
\(a=6\)
\(b,\dfrac{5}{8}\times3=\dfrac{15}{8}\)
\(c,5\times\dfrac{6}{21}=\dfrac{30}{21}\)
\(d,\dfrac{3}{5}\times\dfrac{4}{5}\times\dfrac{6}{7}=\dfrac{72}{175}\)
Tỉ số giữa số cây của hai lớp 4B và 4C là:
1/2:3/4=2/3
Lớp 4C trồng được 28:1x3=84(cây)
Lớp 4B trồng được 84-28=56(cây)
Lớp 4A trồng được 3/4x56=42(cây)
Bài 2:
a: \(=\dfrac{3}{5}\cdot\dfrac{6}{7}=\dfrac{18}{35}\)
b: =3/5+8/25
=15/25+8/25
=23/25
Bài 3:
a: =>x=2/3*2/5=4/25
b: =>x=4/9*2/3=8/27