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\(a,\dfrac{3}{4}:\dfrac{6}{x}=\dfrac{5}{4}\\ \dfrac{6}{x}=\dfrac{3}{4}:\dfrac{5}{4}\\ \dfrac{6}{x}=\dfrac{3}{5}\\ x=6:\dfrac{3}{5}\\ x=10\\ b,\left(x+\dfrac{7}{4}\right)\times\dfrac{2}{3}=6\\ x+\dfrac{7}{4}=6:\dfrac{2}{3}\\x+\dfrac{7}{4}=9\\ x=9-\dfrac{7}{4}\\ x=\dfrac{29}{4}\)
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\(x\times\dfrac{3}{5}=\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{5}{6}\)
\(x=\dfrac{5}{6}:\dfrac{3}{5}=\dfrac{25}{18}\)
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15/8−4/9×6/8+1/6=15/8−24/72+1/6=15/8−1/3+1/6
=45/24−8/24+4/24=(45−8+4)/24=41/24
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`3/7xx14/5+32/5xx3/7+3/7xx9/5`
`=3/7xx(14/5+32/5+9/5)`
`=3/7xx55/5`
`=3/7xx5`
`=15/7`
\(=\frac{3}{7}\times[\frac{14}{5}+\frac{32}{5}+\frac{9}{5}]=\frac{3}{7}\times\frac{55}{5}=\frac{3}{7}\times11=\frac{33}{7}\)
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\(\dfrac{5}{9}=\dfrac{5x6}{9x6}=\dfrac{30}{54}\)
\(\dfrac{1}{6}=\dfrac{1x9}{6x9}=\dfrac{9}{54}\)
`7/9 xx 3/14 : 5/6`
`= 1/6 : 5/6`
`= 1/6 xx 6/5`
`= 1/5`.
=1/6:5/6
=1/5