Thay tỉ số giữa các số hữu tỉ bằng tỉ số giữa các số nguyên
a) 1,5 : 2,16
b) \(4\dfrac{2}{7}:\dfrac{3}{5}\)
c) \(\dfrac{2}{9}:0,3\)
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a: =7/3*5/4=35/12
b: =21/53
c:=0,4:0,3=4/3
d: =23/120
e: =3/9=1/3
f: =24/48=1/2
a)\(1,5:2,16=15:216=5:72\)
b)\(4\dfrac{2}{7}:\dfrac{3}{5}=\dfrac{30}{7}:\dfrac{3}{5}=\dfrac{30}{7}.\dfrac{5}{3}=\dfrac{50}{7}=50:7\)
c)\(\dfrac{\dfrac{2}{9}}{0,31}=\dfrac{2}{9}:\dfrac{31}{100}=\dfrac{2}{9}.\dfrac{100}{31}=\dfrac{31}{450}=31:450\)
a) \(3,7:4,5=\dfrac{3,7}{4,5}=\dfrac{37}{45}\)
b) \(2\dfrac{1}{3}:4\dfrac{2}{3}=\dfrac{7}{3}:\dfrac{14}{3}=\dfrac{7}{3}\times\dfrac{3}{14}=\dfrac{1}{2}\)
c) \(\dfrac{3}{8}:0,7=\dfrac{3}{8}:\dfrac{7}{10}=\dfrac{3}{8}\times\dfrac{10}{7}=\dfrac{15}{28}\)
d) \(5\dfrac{1}{7}:2\dfrac{1}{3}=\dfrac{36}{7}:\dfrac{7}{3}=\dfrac{36}{7}\times\dfrac{3}{7}=\dfrac{108}{49}\)
a) \(2.04:\left(-3.12\right)=\dfrac{204}{-312}=\dfrac{-17}{26}\)
b) \(\left(-1\dfrac{1}{2}\right):1.25=\dfrac{-3}{2}:\dfrac{5}{4}=\dfrac{-3}{2}\cdot\dfrac{4}{5}=\dfrac{-12}{10}=\dfrac{-6}{5}\)
c) \(4:5\dfrac{3}{4}=4:\dfrac{23}{4}=4\cdot\dfrac{4}{23}=\dfrac{16}{23}\)
d) \(10\dfrac{3}{7}:5\dfrac{3}{14}=\dfrac{73}{7}:\dfrac{73}{14}=\dfrac{2}{1}\)
Thay tỉ số giữa các số hữu tỉ bằng tỉ số giữa các số nguyên:
a, 1,5 : 2,16
b, 30/7 : 3/5
c, 2/9 : 0,31
a) \(1,5:2,16=\frac{1,5}{2,16}=\frac{25}{36}\)
b) \(\frac{30}{7}:\frac{3}{5}=\frac{30}{7}.\frac{5}{3}=\frac{50}{7}\)
c) \(\frac{2}{9}:0,31=\frac{2}{9}.\frac{1}{0,31}=\frac{200}{279}\)
a, Ta có : \(1,2=\dfrac{12}{10}=\dfrac{6}{5}\) ; \(3,36=\dfrac{84}{25}\)
=> \(1,2:3,36=\dfrac{6}{5}:\dfrac{84}{25}=\dfrac{5}{14}\)
b, Ta có : \(3\dfrac{1}{7}:2\dfrac{5}{14}=\dfrac{22}{7}:\dfrac{33}{14}=\dfrac{4}{3}\)
c,\(\dfrac{3}{8}:0,54=\dfrac{3}{8}:\dfrac{27}{50}=\dfrac{25}{36}\)
\(\begin{array}{l}a)\dfrac{{10}}{{16}}:\dfrac{4}{{21}} = \dfrac{{10}}{{16}}.\dfrac{{21}}{4} = \dfrac{{105}}{{32}} = 105:32;\\b)1,3:2,75 = \dfrac{{1,3}}{{2,75}} = \dfrac{{130}}{{275}} = \dfrac{{26}}{{55}} = 26:55;\\c)\dfrac{{ - 2}}{5}:0,25 = \dfrac{{ - 2}}{5}:\dfrac{1}{4} = \dfrac{{ - 2}}{5}.\dfrac{4}{1} = \dfrac{{ - 8}}{5} = ( - 8):5\end{array}\)
Lời giải:
a.
\(1,5:2,16=\frac{15}{10}: \frac{216}{100}=\frac{3}{2}: \frac{54}{25}=\frac{3}{2}.\frac{25}{54}=\frac{25}{36}\)
b.
\(4\frac{2}{7}: \frac{3}{5}=\frac{30}{7}:\frac{3}{5}=\frac{30}{7}.\frac{5}{3}=\frac{50}{7}\)
c.
\(\frac{2}{9}: 0,3=\frac{2}{9}: \frac{3}{10}=\frac{2}{9}.\frac{10}{3}=\frac{20}{27}\)