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\(\dfrac{3}{5}+\dfrac{4}{3}\times\dfrac{5}{6}=\dfrac{3}{5}+\dfrac{10}{9}=\dfrac{27}{45}+\dfrac{50}{45}=\dfrac{77}{45}\)
\(2-\dfrac{7}{6}+\dfrac{1}{3}=\dfrac{12}{6}-\dfrac{7}{6}+\dfrac{2}{6}=\dfrac{7}{6}\)
\(\dfrac{7}{6}\times3-\dfrac{3}{5}=\dfrac{7}{2}-\dfrac{3}{5}=\dfrac{35}{10}-\dfrac{6}{10}=\dfrac{29}{10}\)
a)5/12 - 15/8 : 9 = 5/12 - 5/24 = 10/24 -5/24 = 5/24
b)35/13 - 2 + 6 x 7/6 = 35/13 - 2 + 7 = 100/13
\(\dfrac{7}{6}\) + \(\dfrac{5}{12}\) - \(\dfrac{1}{18}\) - 1
= \(\dfrac{42}{36}\) + \(\dfrac{15}{36}\) - \(\dfrac{2}{36}\) - \(\dfrac{36}{36}\)
= \(\dfrac{19}{36}\)
\(\dfrac{13}{6}\) + \(\dfrac{5}{18}+3-\dfrac{7}{12}\)
= \(\dfrac{78}{36}+\dfrac{10}{36}+\dfrac{108}{36}-\dfrac{21}{36}\)
= \(\dfrac{175}{36}\)
3 + \(\dfrac{11}{4}-\dfrac{1}{12}-\dfrac{3}{16}\)
= \(\dfrac{144}{48}+\dfrac{132}{48}-\dfrac{4}{48}-\dfrac{9}{48}\)
= \(\dfrac{263}{48}\)
\(\dfrac{2}{5}\) x \(\dfrac{7}{4}\) - \(\dfrac{2}{5}\) x \(\dfrac{3}{4}\)
= \(\dfrac{2}{5}\) x ( \(\dfrac{7}{4}\) - \(\dfrac{3}{4}\))
= \(\dfrac{2}{5}\) x \(\dfrac{4}{4}\)
= \(\dfrac{2}{5}\)
1 / 9 + 2 / 9 + 4 / 9 = 7 / 9
5 / 5 + 6 / 5 + 1 = 15 / 5 = 3
12 / 2 + 4 / 2 + 1 + 3 / 2 = 21 / 2
7 / 3 + 6 / 3 + 1 + 1 = 19 / 3
`2/3 : 5/4 : 5/6 : 8/7`
`= 2/3 xx 4/5 xx 6/5 xx 7/8`
`= 8/15 xx 6/5 xx 7/8`
`=48/75 xx 7/8`
`=16/25 xx 7/8`
`=14/25`
`2/3:5/4:5/6:8/7`
`=2/3xx4/5xx6/5xx7/8`
`=8/15xx7/8xx6/5`
`=7/15xx6/5`
`=42/75=14/25`
\(\dfrac{2}{5}:\dfrac{6}{25}\\ =\dfrac{2}{5}\times\dfrac{25}{6}\\ =\dfrac{2}{5}\times\dfrac{5\times5}{2\times3}=\dfrac{5}{3}\)
\(\dfrac{2}{5}:\dfrac{6}{25}\)
\(=\dfrac{2}{5}\times\dfrac{25}{6}\)
\(=\dfrac{2}{5}\times\dfrac{5\times5}{2\times3}\)
\(=\dfrac{5}{3}\)