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\(\dfrac{22}{5}\times\dfrac{6}{121}\times\dfrac{11}{4}\times\dfrac{3}{5}\times\dfrac{1}{3}\times\dfrac{5}{4}\)
\(=\left(\dfrac{22}{5}\times\dfrac{5}{4}\right)\times\left(\dfrac{6}{121}\times\dfrac{11}{4}\right)\times\left(\dfrac{3}{5}\times\dfrac{1}{3}\right)\)
\(=\dfrac{11}{2}\times\dfrac{3}{22}\times\dfrac{1}{5}\)
\(=\dfrac{3}{20}\)
\(=\dfrac{22\times6\times11\times3\times1\times5}{5\times121\times4\times5\times3\times4}=\dfrac{11\times2\times6\times11\times1}{11\times11\times4\times5\times4}=\dfrac{2\times6\times1}{4\times5\times4}=\dfrac{18}{100}=\dfrac{9}{50}\)
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\(\frac{15}{8}\)+\(\frac{7}{12}\)-\(\frac{13}{3}\)x\(\frac{3}{8}\)
=\(\frac{45}{24}\)+\(\frac{14}{24}\)-\(\frac{13}{8}\)
=\(\frac{59}{24}\)-\(\frac{39}{24}\)
=\(\frac{20}{24}\)=\(\frac{5}{6}\)
\(\frac{11}{5}\)+\(\frac{5}{22}\):2+\(\frac{5}{6}\)
=\(\frac{11}{5}\)+\(\frac{5}{44}\)+\(\frac{5}{6}\)
=\(\frac{484}{220}\)+\(\frac{25}{220}\)+\(\frac{5}{6}\)
=\(\frac{509}{220}\)+\(\frac{5}{6}\)
=\(\frac{1527}{660}\)+\(\frac{550}{660}\)
=\(\frac{2077}{660}\)
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5/8x16/7x21/25
=1/1x2/1x3/5
=6/5
11/12:22/30x6/15
=11/12x30/22x6/15
=1/2x1/2x1/2
=1/8
5/8x16/7x21/25
=1/1x2/1x3/5
=6/5
11/12:22/30x6/15
=11/12x30/22x6/15
=1/2x1/2x1/2
=1/8
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a) \(\frac{35}{14}=\frac{5\times7}{2\times7}=\frac{5}{2}\)
\(\frac{125}{50}=\frac{5\times5\times5}{2\times5\times5}=\frac{5}{2}\)
b)\(\frac{4\times5+4\times11}{8\times7+4\times3}=\frac{4\times\left(5+11\right)}{4\times\left(2\times7+3\right)}=\frac{16}{17}\)
c) \(\frac{3\times11+7\times11}{22\times2+11\times6}=\frac{11\times\left(3+7\right)}{22\times\left(2+3\right)}=\frac{11\times10}{22\times5}=\frac{11\times2\times5}{11\times2\times5}=1\)
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\(a)x+\frac{2}{3}=\frac{5}{6}\)
\(x=\frac{5}{6}-\frac{2}{3}\)
\(x=\frac{5}{6}-\frac{4}{6}=\frac{1}{6}\)
\(b)x-\frac{3}{5}=\frac{2}{7}+\frac{1}{5}\)
\(x=\frac{3}{5}-\frac{17}{35}\)
\(x=\frac{21}{35}-\frac{17}{35}\)
\(x=\frac{4}{35}\)
\(c)x\div\frac{9}{11}=\frac{5}{22}\)
\(x=\frac{5}{22}\times\frac{9}{11}\)
\(x=\frac{45}{242}\)
\(d)\frac{3}{5}\times x=\frac{3}{10}\)
\(x=\frac{3}{10}\div\frac{3}{5}\)
\(x=\frac{1}{2}\)
\(a)\)\(x+\frac{2}{3}=\frac{5}{6}\)
\(x=\frac{5}{6}-\frac{2}{3}\)
\(x=\frac{1}{6}\)
\(b)\)\(x-\frac{3}{5}=\frac{2}{7}+\frac{1}{5}\)
\(x-\frac{3}{5}=\frac{17}{35}\)
\(x=\frac{17}{35}+\frac{3}{5}\)
\(x=\frac{38}{35}\)
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a) ( 72 - 8 x 9 ) : ( 20 + 21 + 22 + 23 + 24 + 25 )
= ( 72 - 72 ) : ( 20 + 21 + 22 + 23 + 24 + 25 )
= 0 : ( 20 + 21 + 22 + 23 + 24 + 25 )
= 0
b) ( 500 x 9 - 250 x 18 ) x ( 1 + 2 + 3 + ... + 9 )
= ( 500 x 9 - 250 x 2 x 9 ) x ( 1 + 2 + 3 + ... + 9 )
= ( 500 x 9 - 500 x 9 ) x ( 1 + 2 + 3 + ... + 9 )
= 0 x ( 1 + 2 + 3 + ... + 9 )
= 0
\(6x\frac{11}{22}x6=18.\)
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6. 11/22.6=18