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a) $\frac{1}{6}:\frac{3}{7} = \frac{1}{6} \times \frac{7}{3} = \frac{7}{{18}}$
b) $\frac{5}{{12}}:\frac{1}{4} = \frac{5}{{12}} \times \frac{4}{1} = \frac{{5 \times 4}}{{12 \times 1}} = \frac{{5 \times 4}}{{4 \times 3 \times 1}} = \frac{5}{3}$
c) $\frac{4}{{15}}:\frac{8}{3} = \frac{4}{{15}} \times \frac{3}{8} = \frac{{4 \times 3}}{{15 \times 8}} = \frac{{4 \times 3}}{{5 \times 3 \times 4 \times 2}} = \frac{1}{{10}}$
d) $\frac{{18}}{5}:\frac{9}{{10}} = \frac{{18}}{5} \times \frac{{10}}{9} = \frac{{18 \times 10}}{{5 \times 9}} = \frac{{9 \times 2 \times 5 \times 2}}{{5 \times 9}} = 4$
\(=\frac{1+2+3+4+5+6+7+8+9}{10}\)
\(=\frac{45}{10}=\frac{9}{2}\)
a,
\(=\frac{1+2+3+4+5+6+7+8+9}{10}=\frac{45}{10}=\frac{9}{2}\)
b,\(=9\times\left(\frac{26\times10101}{27\times10101}+\frac{8\times11111}{9\times11111}\right)=9\times\left(\frac{26}{27}+\frac{8}{9}\right)=9\times\frac{50}{27}=\frac{50}{3}\)
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\(\frac{4}{5}+\left(x:\frac{2}{3}-\frac{1}{2}\right)=\frac{9}{10}\)
\(x:\frac{2}{3}-\frac{1}{2}=\frac{9}{10}-\frac{4}{5}\)
\(x:\frac{2}{3}-\frac{1}{2}=\frac{1}{10}\)
\(x:\frac{2}{3}=\frac{1}{10}-\frac{1}{2}\)
\(x:\frac{2}{3}=\frac{-2}{5}\)
\(x=\frac{-2}{5}X\frac{2}{3}\)
\(x=\frac{-4}{15}\)
\(\frac{4}{5}+\left(x:\frac{2}{3}-\frac{1}{2}\right)=\frac{9}{10}\)
\(x:\frac{2}{3}-\frac{1}{2}=\frac{1}{10}\)
\(x:\frac{2}{3}=\frac{3}{5}\)
\(x=\frac{2}{5}\)
\(\frac{3}{4}=3:4;\frac{10}{3}=10:3;\frac{9}{5}=9:5;\frac{18}{2}=18:2;\frac{71}{100}=71:100\)
\(4:\frac{9}{5}:\frac{10}{3}\)
= \(\frac{20}{9}:\frac{10}{3}\)
= \(\frac{2}{3}\)
4:9/5:10/3=2/3