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=(7x3)/(3x23)+(4x4)/(23x4)+12/23-(16x2)/27x2)
=7/23+4/23+12/23-16/27
=23/23-16/27
=1-16/27=11/27
\(\dfrac{4}{7}\) x \(\dfrac{21}{16}:\dfrac{5}{8}\) \(=\dfrac{84}{112}:\dfrac{5}{8}\)
\(=\dfrac{3}{4}:\dfrac{5}{8}\)
\(=\dfrac{3}{4}\) x \(\dfrac{8}{5}\)
\(=\dfrac{24}{20}\)
\(=\dfrac{6}{5}\)
481 : (21 + 16) x 23
= 481 : 37 x 23
= 13 x 23
= 299
39 150 : 54 + 9906 : 26
= 725 + 381
=1 106
a) \(\frac{3}{16}+\frac{4}{15}+\frac{5}{16}+\frac{1}{15}\)
\(=\left(\frac{3}{16}+\frac{5}{16}\right)+\left(\frac{4}{15}+\frac{1}{15}\right)\)
\(=\frac{1}{2}+\frac{1}{3}\)
\(=\frac{5}{6}\)
b) \(\frac{6}{7}\times\frac{8}{15}\times\frac{7}{6}\times\frac{15}{16}\)
\(=\left(\frac{6}{7}\times\frac{7}{6}\right)\times\left(\frac{8}{15}\times\frac{15}{16}\right)\)
\(=1\times\frac{1}{2}=\frac{1}{2}\)
c) \(\frac{19}{20}\times\frac{13}{21}+\frac{9}{20}\times\frac{8}{21}\)
\(=\frac{19\times13}{20\times21}+\frac{9\times8}{20\times21}\)
\(=\frac{247}{420}+\frac{72}{420}\)
\(=\frac{319}{420}\)
\(\frac{21}{8}=2\frac{5}{8};\frac{30}{12}=2\frac{1}{2};\frac{54}{16}=4\frac{1}{1}\)
\(\dfrac{14\times9}{21\times3}=\dfrac{2\times7\times3\times3}{3\times7\times3}=2.\\ \dfrac{15\times26\times8}{45\times13\times16}=\dfrac{3\times5\times2\times13\times2\times2\times2}{5\times3\times3\times13\times2\times2\times2\times2}=\dfrac{1}{3}.\)
a: \(=\dfrac{126}{63}=2\)
b: \(=\dfrac{15\cdot16\cdot13}{15\cdot3\cdot13\cdot16}=\dfrac{1}{3}\)
3/4
54/16 - 21/8 = 27/8 - 21/8 = 6/8 = 3/4