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3 \(\times\) \(\dfrac{4}{15}\) + 2 \(\times\) \(\dfrac{4}{15}\) - 5 \(\times\) \(\dfrac{4}{15}\)
= \(\dfrac{4}{15}\) \(\times\) ( 3 + 2 - 5)
= \(\dfrac{4}{15}\) \(\times\) 0
= 0
\(\frac{10}{15}=\frac{34}{51}=\frac{36}{54}\)
\(\frac{15}{20}=\frac{51}{68}=\frac{54}{72}\)
Ta có : \(\frac{10}{15}=\frac{2}{3}\)
\(\frac{15}{20}=\frac{3}{4}\)
\(\frac{34}{51}=\frac{2}{3}\)
\(\frac{51}{68}=\frac{3}{4}\)
\(\frac{36}{54}=\frac{2}{3}\)
\(\frac{54}{72}=\frac{3}{4}\)
\(\Rightarrow\frac{10}{15}=\frac{34}{51}=\frac{36}{54}\left(=\frac{2}{3}\right)\);\(\frac{15}{20}=\frac{51}{68}=\frac{54}{72}\left(=\frac{3}{4}\right)\)
`1)1/2:2/3 .... 2/3 : 1/2`
`=>1/2xx3/2 .... 2/3xx2`
`=>3/4 .... 4/3`
Vì `3/4 < 1` và `4/3>1`
`=>3/4<4/3`
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`4/7:2/5 ... 4/7 : 3/5`
`=>4/7xx5/2....4/7xx5/3`
`=>20/14...20/21`
`=>10/7...20/21`
Vì `10/7>1` và `20/21<1`
`=>10/7>20/21`
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`4/15:4/7....2/5xx10/3`
`=>4/15xx7/4...20/15`
`=>7/15...20/15`
Vì `7<20` nên `7/15<20/15`
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`5/6...15/18-11/18`
`=>5/6...4/18`
Ta có : MSC : `18`
`5/6 = 15/18`
Vì `15>4` nên `5/6 > 4/18`
\(a.=\left(\dfrac{4}{5}.\dfrac{5}{6}\right).\dfrac{2}{3}=\dfrac{4}{6}.\dfrac{2}{3}=\dfrac{4}{9}\)
\(b.\dfrac{4}{5}.\dfrac{3}{4}+\dfrac{5}{4}.\dfrac{3}{4}=\dfrac{3}{5}+\dfrac{15}{16}=\dfrac{123}{80}\)
\(c.\left(\dfrac{11}{23}+\dfrac{9}{23}\right)+\left(\dfrac{2}{23}+\dfrac{18}{23}\right)=\dfrac{20}{23}+\dfrac{20}{23}=\dfrac{40}{23}\)
\(d.\left(\dfrac{27}{12}-\dfrac{25}{36}\right)+\left(\dfrac{17}{6}-\dfrac{15}{6}\right)=\dfrac{14}{9}+\dfrac{1}{3}=\dfrac{17}{9}\)
\(\frac{3.4}{15}+\frac{2.4}{15}-\frac{54}{15}\)
\(=\frac{12}{15}+\frac{8}{15}-\frac{54}{15}\)
\(=\frac{12+8-54}{15}\)\
\(=\frac{-34}{15}\)