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\(5\dfrac{3}{4}:3+2\dfrac{1}{4}\times\dfrac{1}{3}-\dfrac{1}{8}=\left(5\dfrac{3}{4}+2\dfrac{1}{4}\right)\times\dfrac{1}{3}-\dfrac{1}{8}\\ =8\times\dfrac{1}{3}-\dfrac{1}{8}=\dfrac{8}{3}-\dfrac{1}{8}=\dfrac{61}{24}\\ ----\\ \dfrac{3}{5}:\dfrac{5}{6}:\dfrac{6}{7}:\dfrac{7}{8}+\dfrac{2}{5}+\dfrac{23}{35}\\ =\dfrac{3}{5}\times\dfrac{6}{5}\times\dfrac{7}{6}\times\dfrac{8}{7}+\dfrac{2}{5}+\dfrac{23}{35}=\dfrac{18}{25}\times\dfrac{4}{3}+\dfrac{2}{5}+\dfrac{23}{35}=\dfrac{353}{175}\)
\(\frac{27}{8}-\frac{7}{3}+\frac{4}{3}-2\)
=\(\frac{27}{8}-\left(\frac{7}{3}-\frac{4}{4}\right)-2\)
=\(\frac{27}{8}-1-2\)
=\(\frac{27}{8}-\frac{8}{8}-\frac{16}{8}\)
=\(\frac{3}{8}\)
\(\frac{2}{7}+\frac{1}{4}+\frac{5}{7}+\frac{3}{4}\)
\(=\)
\(\left(\frac{2}{7}+\frac{5}{7}\right)+\)\(\left(\frac{1}{4}+\frac{3}{4}\right)\)
\(=1+1\)
\(=2\)
\(\frac{2}{7}+\frac{1}{4}+\frac{5}{7}+\frac{3}{4}\)
\(=\left(\frac{2}{7}+\frac{5}{7}\right)+\left(\frac{1}{4}+\frac{3}{4}\right)\)
\(=1+1\)
\(=2.\)
2/3 * 3/7 : 7/4 +1
= 14/9 : 7/4 + 1
= 8/9 + 1
= 17/9
3/4 *3/2+ 3/4 *1/2
= 3/4 * ( 3/2 + 1/2 )
= 3/4 * 2
= 3/2
3/4 * ( 3/2 + 1/2 ) = 3/4* 4/2 = 3/4 * 2 = 3/4* 2/1 = 6/4 = 3/2