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a)
- Ta xét phân số trung gian là \(\frac{20}{33}\)
Ta thấy : \(\frac{20}{31}>\frac{20}{33}>\frac{19}{33}\)
\(\Rightarrow\frac{20}{31}>\frac{19}{33}\)
- Ta xét phân số trung gian là \(\frac{12}{2}\)
Ta thấy : \(\frac{12}{5}< \frac{12}{2}< \frac{5}{2}\)
\(\Rightarrow\frac{12}{5}< \frac{5}{2}\)
b) gọi phân số đó là \(\frac{a}{6}\)
theo bài ra :
\(\frac{1}{2}< \frac{a}{6}< \frac{3}{4}\)
\(\Rightarrow\frac{6}{12}< \frac{2a}{12}< \frac{9}{12}\)
\(\Rightarrow6< 2a< 9\)
\(\Rightarrow2a=8\)
\(\Rightarrow2a=8:2\)
\(\Rightarrow a=4\)
Vậy phân số đó là \(\frac{4}{6}\)
2\(\frac{2}{12}\)+ X = \(\frac{5}{7}\)+ \(\frac{8}{12}\)
\(\frac{13}{6}\)+ X=\(\frac{29}{21}\)
X= \(\frac{29}{21}\)- \(\frac{13}{6}\)
X=\(\frac{-11}{14}\)
\(|2^2_{12}\)\(+x=\frac{5}{7}+\frac{8}{12}\)
\(2+x=\frac{5}{7}+\frac{1}{2}\)
\(2+x=\frac{17}{14}\)
\(x=\frac{17}{14}-2\)
\(x=\frac{-11}{14}\)
\(3\frac{7}{10}=\frac{37}{10}=3.7\)
\(5\frac{63}{100}=\frac{563}{100}=5.63\)
\(12\frac{378}{1000}=\frac{6189}{500}=12.378\)
\(3\frac{7}{10}=\frac{37}{10}\)
\(5\frac{63}{1000}=\frac{5063}{1000}\)
\(12\frac{378}{1000}=\frac{6189}{500}\)
a) MC: 20
\(\frac{3}{4}\)=\(\frac{3x5}{4x5}\)=\(\frac{15}{20}\)
\(\frac{2}{5}\)=\(\frac{2x4}{5x4}\)=\(\frac{8}{20}\)
b) MC: 36
\(\frac{5}{12}\)=\(\frac{5x3}{12x3}\)=\(\frac{15}{36}\)
\(\frac{11}{36}\)giữ nguyên
c) MC: 60
\(\frac{2}{3}\)=\(\frac{2x20}{3x20}\)=\(\frac{40}{60}\)
\(\frac{3}{4}\)=\(\frac{3x15}{4x15}\)=\(\frac{45}{60}\)
\(\frac{4}{5}\)=\(\frac{4x12}{5x12}\)=\(\frac{48}{60}\)
a ) Ta có :
\(\frac{3}{4}=\frac{3.5}{4.5}=\frac{15}{20}\)
\(\frac{2}{5}=\frac{2.4}{5.4}=\frac{8}{20}\)
Ta có : \(\frac{1}{10}dm=0,1dm\)
\(\frac{2}{200}m=\frac{1}{100}m=0,01m\)
\(\frac{3}{4}cm=0,75cm\)
\(\frac{1}{100000}km=0,00001km\)
\(\frac{1}{10}\)dm = 0,1 dm
\(\frac{2}{200}\)m = \(\frac{1}{100}\)m = \(0,01\)m
\(\frac{3}{4}\)cm = \(0,75cm\)
\(\frac{1}{100000}\)km = \(0,00001km\)
a,
\(3\frac{28}{32}=3+\frac{28}{32}=3+\frac{7}{8}=3+0,875=3,875\)
\(7\frac{15}{75}=7+\frac{15}{75}=7+\frac{1}{5}=7+0,2=7,2\)
b,
\(\frac{37}{8}=\frac{8+8+8+8+5}{8}=\frac{8\times4+5}{8}=\frac{8\times4}{8}+\frac{5}{8}=4+\frac{5}{8}=4\frac{5}{8}\)
\(\frac{149}{25}=\frac{100+25+24}{25}=\frac{100}{25}+\frac{25}{25}+\frac{24}{25}=4+1+\frac{24}{25}=5+\frac{24}{25}=5\frac{24}{25}\)
\(\frac{257}{41}=\frac{246+11}{41}=\frac{246}{41}+\frac{11}{41}=6+\frac{11}{41}=6\frac{11}{41}\)
\(12\frac{1}{2}\%=\frac{5}{30}\)
ta có:
12 \(\frac{1}{2}\) % = \(\frac{12x2+1}{2}\) % =\(\frac{25}{2}\) % = 12,5:100=0,125