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TL:
8/15 x 5/6 = 40/90 = 4/9
41/20 x 3/4 = 123/80
(11/23 + 9/23) + (18/23 + 2/23) = 20/23 + 20/23 = 40/43
HT
\(\left(\frac{2}{3}\times\frac{4}{5}\right)\times\frac{5}{6}\) = \(\frac{2}{3}\times\frac{4}{5}\times\frac{5}{6}\)=\(\frac{2\times4\times5}{3\times5\times6}\)=\(\frac{2\times4\times5}{3\times5\times2\times3}\)=\(\frac{4}{9}\)
\(\frac{11}{23}+\frac{2}{23}+\frac{9}{23}+\frac{18}{23}\)=\(\frac{\left(11+9\right)+\left(18+2\right)}{23}\)=\(\frac{20+20}{23}\)=\(\frac{40}{23}\)
\(\frac{27}{12}+\frac{17}{6}-\frac{25}{36}-\frac{15}{6}\)=\(\left(\frac{27}{12}-\frac{25}{36}\right)+\left(\frac{17}{6}-\frac{15}{6}\right)\)=\(\frac{14}{9}+\frac{2}{6}\)=\(\frac{17}{9}\)
/HT\
a, \(\dfrac{5\times11\times15\times18}{6\times15\times22\times10}\)
= \(\dfrac{5\times11\times15\times6\times3}{6\times15\times11\times2\times2\times5}\)
= \(\dfrac{5\times11\times15\times6}{5\times11\times15\times6}\) \(\times\) \(\dfrac{3}{2\times2}\)
= 1 \(\times\) \(\dfrac{3}{4}\)
= \(\dfrac{3}{4}\)
b, \(\dfrac{7}{12}\) \(\times\) \(\dfrac{3}{5}\) + \(\dfrac{3}{5}\) \(\times\) \(\dfrac{5}{12}\)
= \(\dfrac{3}{5}\) \(\times\) ( \(\dfrac{7}{12}+\dfrac{5}{12}\))
= \(\dfrac{3}{5}\) \(\times\) \(\dfrac{12}{12}\)
= \(\dfrac{3}{5}\) \(\times\) 1
= \(\dfrac{3}{5}\)
a: 3km75m=3,075m
\(\dfrac{1}{4}m^2=25dm^2\)
3h15'=195p
b: 26320:35=752
c: =3/5(5/12+7/12)
=3/5
a, \(3km75m=3075m\)
\(\dfrac{1}{4}m^2=25\text{d}m^2\)
`3` giờ `15` phút = `195` phút
b,
`->26320 : 35=752.`
c, \(\dfrac{9}{15}\times\dfrac{5}{12}+\dfrac{9}{15}\times\dfrac{7}{12}=\dfrac{9}{15}\times\left(\dfrac{5}{12}+\dfrac{7}{12}\right)=\dfrac{9}{15}\times1=\dfrac{9}{15}\)
`@mt`
\(\frac{5x8x24x27}{8x15x9x7}=\frac{5x8x24x9x3}{8x5x3x9x7}=\frac{24}{7}\)
Chúc bạn học tốt.
😁😁😁
Ta tính thuận tiện bằng cách phân tích các thừa số để bỏ thừa số chung:
\(\frac{5\text{x}8\text{x}24\text{x}27}{8\text{x}15\text{x}9\text{x}7}=\frac{5\text{x}8\text{x}3\text{x}8\text{x}3\text{x}3\text{x}3}{8\text{x}3\text{x}5\text{x}3\text{x}3\text{x}7}\)
\(=\frac{8\text{x}3}{7}\)
\(=\frac{24}{7}\)
\(\dfrac{3}{12}\)x\(\dfrac{15}{6}\)x\(\dfrac{8}{5}\)
=> \(\dfrac{5}{8}\)x\(\dfrac{8}{5}\)
=>1
( 125 x 36 ) : ( 5 x 9 )
( 25 x 5 x 9 x 4 ) : ( 5 x 9 ) ta thấy cả số bị chia và số chia đều có ( 5 x 9 )
=> kết quả còn là : 25 x 4 = 100
1. A) 225886 + 779 × 8
= 225886 + 6232
= 232118
B) 125 × 5 × 20 × 8
= (125 × 8) × (5 × 20)
= 1000 × 100
= 100000
C) 47286 : 2 + 14765
= 23643 + 14765
= 38408
D) 91428 - 23560 : 5
= 91428 - 4712
= 86716
3. A) 36 × 532 + 63 × 532 + 532
= 532 × (36 + 63 + 1)
= 532 × 100
= 53200
B) 679 × 123 + 679 - 679 × 24
= 679 × (123 + 1 - 24)
= 679 × 100
= 67900
C) 245 × 327 - 245 × 18 - 9 × 245
= 246 × (327 - 18 - 9)
= 245 × 300
= 73500
\(a.60\times\left(\frac{7}{12}+\frac{4}{15}\right)\)
\(=60\times\left(\frac{35}{60}+\frac{16}{60}\right)\)
\(=60\times\frac{51}{60}\)
\(=51\)
\(b.\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\times\frac{5}{6}\times\frac{6}{7}\times\frac{7}{8}\times\frac{8}{9}\)
\(=\frac{1\times2\times3\times4\times5\times6\times7\times8}{2\times3\times4\times5\times6\times7\times8\times9}\)
\(=\frac{1}{9}\)
(36 × 27) : 3 = 36 × (27 : 3)
= 36 × 9
= 324
--------
(125 × 15) : 5
= 125 × (15 : 5)
= 125 × 3
= 375
--------
(15 × 12) : 9
= (5 × 3 × 12) : 9
= 5 × (36 : 9)
= 5 × 4
= 20
--------
450 : (3 × 5)
= 450 : 15
= 30
--------
(45 × 63) : 9
= 45 × (63 : 9)
= 45 × 7
= 40 × 7 + 5 × 7
= 280 + 35
= 315