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75/100+75%.2+3/4.3+0.75.4
=3/4+3/4.2+3/4.3+3/4.4
=3/4.(1+2+3+4)
=3/4.10
=15/2
5,5 + \(\dfrac{3}{4}\) - 5 + \(\dfrac{1}{4}\)
(5,5 - 5) + (\(\dfrac{3}{4}\) + \(\dfrac{1}{4}\))
= 0,5 + 1
= 1,5
\(\dfrac{5}{2}\) x \(\dfrac{2}{3}\) + \(\dfrac{1}{4}\) : \(\dfrac{3}{2}\)
= \(\dfrac{5}{2}\) x \(\dfrac{2}{3}\) + \(\dfrac{1}{4}\) x \(\dfrac{2}{3}\)
= (\(\dfrac{5}{2}\) + \(\dfrac{1}{4}\)) x \(\dfrac{2}{3}\)
= (\(\dfrac{10}{4}\) + \(\dfrac{1}{4}\)) x \(\dfrac{2}{3}\)
= \(\dfrac{11}{4}\) x \(\dfrac{2}{3}\)
= \(\dfrac{11}{6}\)
Tính \(x\):
435 - [\(x\) + 16] = 425 : 17
435 - [\(x\) + 16] = 25
[\(x\) + 16] = 435 - 25
\(x\) + 16 = 410
\(x\) = 410 - 16
\(x\) = 394
75/100 + 3/4 x 29 + 75% x 30 + 0,75 x 40
= 0,75 + 0,75 x 29 + 0,75 x30 + 0,75 x 40
= 0,75 x ( 1 + 29 + 30 + 40 )
= 0,75 x 100
=75
\(\frac{75}{100}+\frac{3}{4}\times29+75\%\times30+0,75\times40\)
\(=\frac{75}{100}\times1+\frac{3\times25}{4\times25}\times29+\frac{75}{100}\times30+\frac{0,75}{1}\times40\)
\(=\frac{75}{100}\times1+\frac{75}{100}\times29+\frac{75}{100}\times30+\frac{0,75\times100}{1\times100}\times40\)
\(=\frac{75}{100}\times1+\frac{75}{100}\times29+\frac{75}{100}\times30+\frac{75}{100}\times40\)
\(=\frac{75}{100}\left(1+29+30+40\right)\)
\(=\frac{75}{100}\times100\)
\(=\frac{75}{100}\times\frac{100}{1}\)
\(=\frac{75}{1}\)
\(=75\)
\(=\frac{75\times100}{100\times1}\)
Giải:
\(\left(1-\dfrac{3}{4}\right).\left(1-\dfrac{3}{7}\right).\left(1-\dfrac{3}{10}\right).\left(1-\dfrac{3}{13}\right).....\left(1-\dfrac{3}{97}\right).\left(1-\dfrac{3}{100}\right)\)
\(=\dfrac{1}{4}.\dfrac{4}{7}.\dfrac{7}{10}.\dfrac{10}{13}.....\dfrac{94}{97}.\dfrac{97}{100}\)
\(=\dfrac{1.4.7.10.....94.97}{4.7.10.13.....97.100}\)
\(=\dfrac{1}{100}\)
\(=25\%+25\%\times38+25\%\times50+25\%\times11\)
\(=25\%\times\left(1+38+50+11\right)=25\%\times100=25\)
`#3107.101107`
b)
\(0,5\times\dfrac{3}{4}-\dfrac{1}{2}\times\dfrac{1}{4}\\ =\dfrac{1}{2}\times\dfrac{3}{4}-\dfrac{1}{2}\times\dfrac{1}{4}\\ =\dfrac{1}{2}\times\left(\dfrac{3}{4}-\dfrac{1}{4}\right)\\=\dfrac{1}{2}\times\dfrac{1}{2}\\ =\dfrac{1}{4}\)
( 1 + 1/2 ) . ( 1+ 1/3) . ( 1+ 1/4 ) . ( 1+ 1/5 )
=3/2 . 4/3.5/4.6/5
= 3.4.5.6/2.3.4.5
=6/2 = 3
= 1 x ( \(\dfrac{1}{2}\) + \(\dfrac{1}{3}\) + \(\dfrac{1}{4}\) + \(\dfrac{1}{5}\) )
= 1 x \(\dfrac{77}{60}\)
= \(\dfrac{77}{60}\)
\(100\times2:1\times3:2\times4:3\times5:4\times...\times100:99\)
\(=100\times\frac{2}{1}\times\frac{3}{2}\times\frac{4}{3}\times\frac{5}{4}\times...\times\frac{100}{99}\)
\(=100\times\frac{100}{1}\)
\(=10000\)
Chúc bạn học tốt !!!
100 x 2 : 1 x 3 : 2 x 4 : 3 x ... x 100 : 99
= 100 x 2/1 x 3/2 x 4/3 x ... x 100/99
= 100 x 100/1
= 100 x 100
= 10000