Tính \(\frac{39}{7\times16}+\frac{65}{16\times31}+\frac{52}{31\times43}+\frac{26}{43\times49}\)
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tính tổng
\(A=\frac{4}{7\times31}+\frac{6}{7\times41}+\frac{9}{10\times41}+\frac{7}{10\times57}\)
\(B=\frac{7}{19\times31}+\frac{5}{19\times43}+\frac{3}{23\times43}+\frac{7}{10\times57}\)
cho A=\(\frac{34}{7\cdot13}+\frac{51}{13\cdot22}+\frac{85}{22\cdot37}+\frac{68}{37\cdot49}\)
cho B=\(\frac{39}{7\cdot6}+\frac{65}{16\cdot31}+\frac{52}{31\cdot43}+\frac{26}{43\cdot49}\)
tính\(\frac{A}{B}\)
Cho
A= \(\frac{4}{31\times7}+\frac{6}{7\times41}+\frac{9}{10\times41}+\frac{7}{10\times57}\)
B= \(\frac{7}{19\times31}+\frac{5}{19\times43}+\frac{3}{13\times43}+\frac{11}{23\times57}\)
Tính \(\frac{A}{B}\)
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Tính D=\(\frac{\frac{15}{6\times16}+\frac{15}{16\times26}+\frac{15}{26\times36}}{\frac{33}{6\times16}-\frac{63}{16\times26}+\frac{93}{26\times36}}\)
Ta có: \(D=\frac{\frac{15}{6x16}+\frac{15}{16x26}+\frac{15}{26x36}}{\frac{33}{6x16}-\frac{63}{16x26}+\frac{93}{26x36}}\)
\(\Rightarrow D=\frac{15.\frac{1}{6x16}+15.\frac{1}{16x26}+15.\frac{1}{26x36}}{3.11.\frac{1}{6x16}-3.21.\frac{1}{16x26}+3.31.\frac{1}{26x36}}\)
\(\Rightarrow D=\frac{15.\left(\frac{1}{6x16}+\frac{1}{16x26}+\frac{1}{26x36}\right)}{3.\left(\frac{11}{6x16}-\frac{21}{16x26}+\frac{31}{26x36}\right)}\)
\(\Rightarrow D=5.\left(\frac{1}{6x16}+\frac{1}{16x26}+\frac{1}{26x36}\right):\left(\frac{11}{6x16}-\frac{21}{16x26}+\frac{31}{26x36}\right)\)
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tính
\(a,\left(\frac{51}{56}+\frac{8}{21}+\frac{16}{48}\right).\frac{32}{65}\)
\(b,\left(\frac{31}{20}-\frac{26}{45}\right).\frac{36}{49}\)
\(c,\frac{5}{39}.\left(7\frac{4}{5}.1\frac{2}{3}+8\frac{1}{3}.7\frac{4}{5}\right)\)
SGK Kết nối tri thức với cuộc sống - Trang 61
23 tháng 8 2023 lúc 23:11
Tính (theo mẫu).
Mẫu: \(\dfrac{2\times3\times7}{5\times7\times3}=\dfrac{2}{5}\)
a) \(\dfrac{12\times11\times13}{13\times17\times11}\) b) \(\dfrac{49\times16\times31}{16\times49\times37}\)
a) = \(\dfrac{12}{17}\)
b) = \(\dfrac{31}{37}\)
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tính C= \(9.\left(\frac{13-\frac{13}{7}-\frac{13}{289}}{4-\frac{4}{7}-\frac{4}{289}}:\frac{39+\frac{39}{5}+\frac{39}{139}+\frac{39}{31}}{16+\frac{16}{5}+\frac{16}{139}+\frac{16}{31}}\right).\frac{158158}{164164}\)
tính hộ ợ
\(C=9\cdot\left(\frac{\frac{26299}{2023}-\frac{3757}{2023}-\frac{91}{2023}}{\frac{8092}{2023}-\frac{1156}{2023}-\frac{28}{2023}}\right):\left(\frac{\frac{840255}{21545}+\frac{168051}{21545}+\frac{6045}{21545}+\frac{27105}{21545}}{\frac{344720}{21545}+\frac{68944}{21545}+\frac{2480}{21545}+\frac{11120}{21545}}\right)\cdot\frac{158158}{164164}\)
\(C=9\cdot\left(\frac{\frac{22451}{2023}}{\frac{6908}{2023}}\div\frac{\frac{1041456}{21545}}{\frac{427264}{21545}}\right)\cdot\frac{158158}{164164}\)
\(C=9\cdot\left(\frac{13}{4}\div\frac{39}{16}\right)\cdot\frac{158158}{164164}\)
\(C=9\cdot\frac{4}{3}\cdot\frac{2\cdot79\cdot2\cdot79}{2\cdot82\cdot2\cdot82}=9\cdot\frac{4}{3}\cdot\frac{79}{82}\)
\(C=\frac{474}{41}\)
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Tính tỷ số \(\frac{A}{B}\)
\(A=\frac{4}{9\times31}+\frac{5}{31\times12}+\frac{9}{36\times15}+\frac{13}{15\times58};B=\frac{5}{27\times8}+\frac{7}{8\times39}+\frac{9}{39\times12}+\frac{10}{12\times58}\)
Tính nhanh:
\(\frac{60\times48+120\times31}{55\times16+55\times4}\)
\(\frac{60\times48+120\times31}{55\times16+55\times4}=\frac{60\times2\times24+120\times31}{55\times\left(16+4\right)}\)
\(=\frac{120\times24+120\times31}{55\times20}\)
\(=\frac{120\times\left(24+31\right)}{55\times20}\)
\(=\frac{120\times55}{55\times20}=6\)
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\(\frac{60\times48+120\times31}{55\times16+55\times4}=\frac{60\times48+60\times62}{110\times8+110\times2}=\frac{60\times\left(48+62\right)}{110\times\left(8+2\right)}=\frac{60\times110}{110\times10}=\frac{60}{10}=6\)
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