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a)
(1/3-1/5)x1/4 = 1/3x1/4-1/5x1/4=1/12-1/20=1/30
(1/3-1/5)x1/4 = 2/15x1/4=1/30
b)
2/5 x 3/7 + 2/5 x 4/7= 6/35 + 8/35 = 14/35 = 2/5
2/5 x 3/7 + 2/5 x 4/7= (3/7+4/7) x 2/5 = 1 x 2/5 = 2/5
\(x\times\frac{1}{3}+x\times\frac{5}{3}+x\times\frac{2}{3}=5\)
\(x\times\left(\frac{1}{3}+\frac{5}{3}+\frac{2}{3}\right)=5\)
\(x\times\frac{8}{3}=5\)
\(x=5:\frac{8}{3}\)
\(x=\frac{15}{8}\)
\(\dfrac{3}{5}+\dfrac{4}{3}\times\dfrac{5}{6}=\dfrac{3}{5}+\dfrac{10}{9}=\dfrac{27}{45}+\dfrac{50}{45}=\dfrac{77}{45}\)
\(2-\dfrac{7}{6}+\dfrac{1}{3}=\dfrac{12}{6}-\dfrac{7}{6}+\dfrac{2}{6}=\dfrac{7}{6}\)
\(\dfrac{7}{6}\times3-\dfrac{3}{5}=\dfrac{7}{2}-\dfrac{3}{5}=\dfrac{35}{10}-\dfrac{6}{10}=\dfrac{29}{10}\)
`(1 xx 2 xx 3 xx 4)/(3 xx 4 xx 5 xx 6)`
`= (1 xx 2)/(5 xx 6)`
`= 2/12`
`= 1/6`
\(x\times\dfrac{3}{5}=\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{5}{6}\)
\(x=\dfrac{5}{6}:\dfrac{3}{5}=\dfrac{25}{18}\)
=41/10
x - 1/2 = 18/5
x = 18/5 + 1/2
x = 41/10