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2/3 = 2 x 4/ 3 x 4 =8/12
8/14 = 8 : 2/ 14 : 2 =4/7
5/9 = 5 x3/ 9 x 3 =15/37
35/ 40 = 35 : 5/ 40 : 5=7/8
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\(a.\dfrac{12+x}{42}=\dfrac{35}{42}\Leftrightarrow12+x=35\Leftrightarrow x=23\)
\(b.\dfrac{25-x}{40}=\dfrac{3}{8}\Leftrightarrow\dfrac{25-x}{40}=\dfrac{15}{40}\Leftrightarrow25-x=15\Leftrightarrow x=10\)
\(c.\dfrac{13+x}{20}=\dfrac{3}{4}\Leftrightarrow\dfrac{13+x}{20}=\dfrac{15}{20}\Leftrightarrow13+x=15\Leftrightarrow x=2\)
\(d.\dfrac{23-x}{25}=\dfrac{20}{25}\Leftrightarrow23-x=20\Leftrightarrow x=3\)
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( x + 1) + )+ ( x + 2) +( x + 3) +) + ( x + 4 ) + ( x + 5 ) = 40
( x+x+x+x+x ) + ( 1+2+3+4+5 ) = 40
x*5 + 15 = 40
x*5 = 40-15
x*5 = 25
x= 25 :5
x=5
x+1+x+2+x+3+x+4+x+5=40
5*x+(1+2+3+4+5) =40
5*x+15 =40
5*x =40-15
5*x =25
x =25/5
x =5
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x + 21/40 = 53/40
x = 53/40 - 21/40
x = 32/40 = 4/5
34/35 : x = 17/5
x = 34/35 : 17/5
x = 2/7
`x + 3 / 4 xx 7 / 10 = 53 / 40`
`x + 21 / 40 = 53 / 40`
`x = 53 / 40 - 21 / 40`
`x = 32 / 40`
`x = 4 / 5`
____________________________
`( 2 / 5 + 4 / 7 ) : x = 17 / 5`
`( 14 / 35 + 20 / 35 ) : x = 17 / 5`
`34 / 35 : x = 17 / 5`
`x = 34 / 35 : 17 / 5`
`x = 34 / 35 xx 5 / 17`
`x = 2 / 7`
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\(x+\dfrac{4}{5}\times\dfrac{3}{8}=\dfrac{3}{2}\)
\(x+\dfrac{3}{10}=\dfrac{3}{2}\)
\(x=\dfrac{3}{2}-\dfrac{3}{10}\)
\(x=\dfrac{12}{10}=\dfrac{6}{5}\)
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Hướng dẫn giải:
a) 3 x (20 – 5)
Cách 1:
3 x (20 – 5) = 3 x 15 = 45
Cách 2:
3 x (20 – 5) = 3 x 20 – 3 x 5 = 60 – 15 = 45
b) 20 x (40 – 1)
Cách 1:
20 x (40 – 1) = 20 x 39 = 780
Cách 2:
20 x (40 – 1) = 20 x 40 – 20 x 1 = 800 – 20 = 780
40 : (3 + 4) x 3
= 40 : 7 x 3
= \(\frac{40}{7}x3\)
=\(\frac{120}{7}\)
=\(17\frac{1}{7}\)