Tính nhanh
a) 15 x 2121/4343 + 15 x 222222/434343
b) 16 X 25 + 44 X 100 /29 X 96 + 142 X 48
c) 1994 x 1993 - 1992 x 1993 / 1992 x 1993 + 1994 x 7 + 1986
Dấu / là phần
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a) \(15\times\frac{2121}{4343}+15\times\frac{222222}{434343}=15\times\frac{21}{43}+15\times\frac{22}{43}=15\times\left(\frac{21}{43}+\frac{22}{43}\right)=15\times1=15\)
b) \(\frac{16\times25+44\times100}{29\times96+142\times48}=\frac{25\times\left(16+44\times4\right)}{48\times\left(29\times2+142\right)}=\frac{25\times192}{48\times200}=\frac{4}{8}=\frac{1}{2}\)
Bài 1
a; \(\dfrac{7}{19}\) x \(\dfrac{1}{3}\) + \(\dfrac{7}{19}\) x \(\dfrac{2}{3}\)
= \(\dfrac{7}{19}\) x (\(\dfrac{1}{3}+\dfrac{2}{3}\))
= \(\dfrac{7}{19}\) x 1
= \(\dfrac{7}{19}\)
b; 15 x \(\dfrac{2121}{4343}\) + 15 x \(\dfrac{212121}{434343}\)
= 15 x \(\dfrac{21}{43}\) + 15 x \(\dfrac{21}{43}\)
= 15 x \(\dfrac{21}{43}\) x (1 + 1)
= 15 x \(\dfrac{21}{43}\) x 2
= (15 x 2) x \(\dfrac{21}{43}\)
= 30 x \(\dfrac{21}{43}\)
= \(\dfrac{630}{43}\)
b. 16×25+44×100/ 29×96+142×48
=400+4×11×100/29×96+71×2×48
=400+400×11/29×96+71×96
=400×(1+11)/96×(29+71)
=400×12/96×100=1/2
1993 x ( 1994 - 1992 ) 1992 x ( 1993 + 7 )
= 1993 x 2 =1992 x 2000
= 3986 =398
4
x
1986
=
791
2
2
2
4
a, 15 x 2121/4343 + 15 x 222222/434343
= 15 x ( 2121/4343 + 222222/434343 )
= 15 x ( 21/43 + 22/43 )
= 15 x 1 = 15