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\(2\frac{3}{13}\cdot\frac{26}{58}\cdot4\cdot2\frac{15}{24}\cdot\frac{8}{21}=\frac{29}{13}\cdot\frac{26}{58}\cdot4\cdot\frac{21}{8}\cdot\frac{8}{21}=\frac{29\cdot26\cdot4\cdot21\cdot8}{13\cdot58\cdot8\cdot21}=\frac{1\cdot2\cdot4\cdot1\cdot1}{1\cdot2\cdot1\cdot1}=\frac{1\cdot4}{1}=4\)
\(2\times\frac{3}{13}\times\frac{26}{58}\times4\times2\frac{15}{24}\times\frac{8}{21}\)
\(=\left(2\times4\right)\times\left(\frac{3}{13}\times\frac{26}{58}\times\frac{63}{24}\times\frac{8}{21}\right)\)
\(=8\times\left(\frac{3\times26\times63\times8}{13\times58\times24\times21}\right)\)
\(=8\times\left(\frac{3\times13\times2\times7\times3\times3\times8}{13\times29\times2\times3\times8\times7\times3}\right)\)
\(=8\times\left(\frac{2\times3\times8}{29}\right)\)
\(=8\times\left(\frac{48}{29}\right)\)
\(=\frac{8\times48}{29}\)
\(=\frac{384}{29}=13\frac{7}{29}\)
a)<=>2/7:(13/24+5/24) b)<=>15/24-9/24-4/24 c)=7.5.39/13.14.15
<=>2/7:3/4 <=>2/24=1/12 =3/2.3
<=>2/7x4/3 =1/2
<=>8/21
a. \(\frac{2}{7}:\frac{13}{24}+\frac{2}{7}:\frac{5}{24}\)
= \(\frac{2}{7}:\left(\frac{13}{24}+\frac{5}{24}\right)\)
= \(\frac{2}{7}:\frac{3}{4}\)
= \(\frac{8}{21}\)
b. \(\frac{15}{24}-\frac{3}{8}-\frac{1}{6}\)
= \(\frac{15}{24}-\frac{9}{24}-\frac{4}{24}\)
= \(\frac{2}{24}=\frac{1}{12}\)
c. \(\frac{7}{13}.\frac{5}{14}.\frac{39}{15}\)
= \(\frac{7.5.3.13}{13.2.7.3.5}\)
= \(\frac{1}{2}\)
\(\frac{5}{1.6}\)+ \(\frac{5}{6.11}\)+ .........+\(\frac{5}{501.506}\)
=\(\frac{1}{1.6}+\frac{1}{6.11}+.....+\frac{1}{501.506}\)
=\(\frac{1}{1}-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+......+\frac{1}{501}-\frac{1}{506}\)
=\(\frac{1}{1}-\frac{1}{506}\)
= tự tính nha
a,
\(3\frac{28}{32}=3+\frac{28}{32}=3+\frac{7}{8}=3+0,875=3,875\)
\(7\frac{15}{75}=7+\frac{15}{75}=7+\frac{1}{5}=7+0,2=7,2\)
b,
\(\frac{37}{8}=\frac{8+8+8+8+5}{8}=\frac{8\times4+5}{8}=\frac{8\times4}{8}+\frac{5}{8}=4+\frac{5}{8}=4\frac{5}{8}\)
\(\frac{149}{25}=\frac{100+25+24}{25}=\frac{100}{25}+\frac{25}{25}+\frac{24}{25}=4+1+\frac{24}{25}=5+\frac{24}{25}=5\frac{24}{25}\)
\(\frac{257}{41}=\frac{246+11}{41}=\frac{246}{41}+\frac{11}{41}=6+\frac{11}{41}=6\frac{11}{41}\)
\(2\frac{3}{13}.\frac{27}{58}.2\frac{15}{24}.\frac{8}{21}:\frac{3}{7}=\frac{29}{13}.\frac{27}{58}.\frac{63}{24}.\frac{8}{21}:\frac{3}{7}=\frac{27}{26}.\frac{63}{24}.\frac{8}{21}:\frac{3}{7}=\frac{567}{208}.\frac{8}{21}:\frac{3}{7}=\frac{27}{26}:\frac{3}{7}=\frac{63}{26}\)
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