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\(\dfrac{x}{5}\) = \(\dfrac{48}{60}\)
\(x\) = \(\dfrac{48}{60}\) \(\times\) 5
\(x\) = 4
\(\dfrac{x}{7}\) = \(\dfrac{16}{56}\)
\(x\) = \(\dfrac{16}{56}\) \(\times\) 7
\(x\) = 2
\(\dfrac{8}{x}\) = \(\dfrac{72}{108}\)
\(x\) = 8 : \(\dfrac{72}{108}\)
\(x\) = 12
\(x\) - \(\dfrac{3}{12}\) = \(\dfrac{35}{84}\)
\(x\) = \(\dfrac{35}{84}\) + \(\dfrac{3}{12}\)
\(x\) = \(\dfrac{2}{3}\)
Câu 1: \(\frac{17}{51}\)x \(\frac{45}{30}\)= \(\frac{1}{3}\)x \(\frac{3}{2}\)
= \(\frac{1}{2}\).
Câu 2: \(\frac{24}{15}\)x \(\frac{56}{72}\)x \(\frac{10}{14}\)= \(\frac{8}{5}\)x \(\frac{7}{9}\)x \(\frac{5}{7}\)
= \(\frac{56}{45}\)x \(\frac{5}{7}\)
= \(\frac{8}{9}\)
Câu 3: \(\frac{32}{48}\times\frac{35}{21}\times\frac{63}{14}\times\frac{9}{30}=\frac{2}{3}\times\frac{5}{3}\times\frac{9}{2}\times\frac{3}{10}=\frac{3}{2}\)
k nha
a)17/51x45/40=1/3x3/2=3/6=1/2
b)24/15x56/72x10/14=8/5x7/9x5/7=8/9
c)32/48x35/21x63/14x9/30=2/3x5/3x9/2x3/10=3/2
`1/42 + 1/56 + 1/72 + .... + 1/9900`
`= 1/( 6*7) + 1/( 7*8 ) + ..... + 1/( 99*100)`
`= 1/6 - 1/7 + 1/7-1/8+....+1/99-1/100`
`= 1/6 - 1/100`
`= 50/300 - 3/300`
`= 47/300`
\(\dfrac{1}{42}+\dfrac{1}{56}+\dfrac{1}{72}+...+\dfrac{1}{9900}\\ =\dfrac{1}{6.7}+\dfrac{1}{7.8}+\dfrac{1}{8.9}+...+\dfrac{1}{99.100}\\ =\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+...+\dfrac{1}{99}-\dfrac{1}{100}\\ =\dfrac{1}{6}-\dfrac{1}{100}=\dfrac{47}{300}\)
a)\(8-\frac{3}{5}=\frac{40}{5}-\frac{3}{5}=\frac{37}{5}\)
b)\(\frac{24}{15}\times\frac{56}{72}\times\frac{10}{14}=\frac{13440}{15120}=\frac{8}{9}\)
c)\(\frac{32}{48}\times\frac{35}{21}\times\frac{63}{14}\times\frac{9}{30}=\frac{2}{3}\times\frac{5}{3}\times\frac{9}{2}\times\frac{3}{10}=\frac{270}{180}=\frac{3}{2}\)
d)\(7-\frac{72}{48}\times\frac{56}{60}-3=7-\frac{3}{2}\times\frac{14}{15}-3\)
\(=7-\frac{7}{5}-3\)
\(=\frac{35}{5}-\frac{7}{5}-\frac{15}{5}\)
\(=\frac{13}{5}\)
#H
(Sai thì sửa)
\(361:19=19\)
\(216:72=3\)
\(530:24=22\) dư \(2\)
\(688:56=12\) dư \(16\)
1/30 + 1/42 + 1/56 + 1/72 + 1/90 + 1/110
= 1/5×6 + 1/6×7 + 1/7×8 + 1/8×9 + 1/9×10 + 1/10×11
= 1/5 - 1/6 + 1/6 - 1/7 + 1/7 - 1/8 + 1/8 - 1/9 + 1/9 - 1/10 + 1/10 - 1/11
= 1/5 - 1/11
= 11/55 - 5/55
= 6/55
\(\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}+\frac{1}{110}\)
\(=\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}+\frac{1}{10.11}\)
\(=\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}+\frac{1}{10}-\frac{1}{11}\)
\(=\frac{1}{5}-\frac{1}{11}\)
\(=\frac{6}{55}\)
B = 1/5 + 1/5.6 + 1/6.7 + 1/7.8 + 1/8.9 + 1/9.10
B = 1/5 + 1/5 - 1/6 + 1/6 - 1/7 + 1/7 - 1/8 + 1/8 - 1/9 + 1/9 - 1/10
B = 1/5 + 1/5 - 1/10
B = 2/5 - 1/10
B = 3/10
\(B=\frac{1}{5}+\frac{1}{5.6}+\frac{1}{6.7}+...+\frac{1}{9.10}\)
\(=\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{9}-\frac{1}{10}\)
\(=\frac{1}{5}+\frac{1}{5}-\frac{1}{10}=\frac{4}{10}-\frac{1}{10}=\frac{3}{10}\)