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Gọi ... = x cho dễ nhìn
\(\frac{-5}{2}=\frac{x}{12}\Rightarrow-5\cdot12=2x\Rightarrow-60=2x\Rightarrow x=-30\)
\(\frac{-7}{6}=\frac{x}{12}\Rightarrow-7\cdot12=6x\Rightarrow-84=6x\Rightarrow x=-14\)
\(\frac{1}{-3}=\frac{x}{12}\Rightarrow12=-3x\Rightarrow x=-4\)
\(\frac{-5}{-4}=\frac{x}{12}\Rightarrow-5\cdot12=-4x\Rightarrow-60=-4x\Rightarrow x=15\)
a) 2(x - 5) - 3(x + 7) = 14
<=> 2x - 10 - 3x - 21 = 14
<=> 2x - 3x = 14 + 10 + 21
<=> x = -45
Vậy x = -45
b) 5(x - 6) - 2(x + 3) = 12
<=> 5x - 30 - 2x - 6 = 12
<=> 5x - 2x = 12 + 30 + 6
<=> 3x = 48
<=> x = 16
Vậy x = 16
c) 3(x - 4) - (8 - x) = 12
<=> 3x - 12 - 8 + x = 12
<=> 3x + x = 12 + 12 + 8
<=> 4x = 32
<=> x = 8
Vậy x = 8
d) -7(3x - 5) + (7x - 14) = 28
<=> -21x + 35 + 7x - 14 = 28
<=> -21x + 7x = 28 - 35 + 14
<=> -14x = 7
<=> x = -1/2
Vậy x = -1/2
\(a,2\left(x-5\right)-3\left(x+7\right)=14\)
\(\Leftrightarrow2x-10-3x-21=14\)
\(\Leftrightarrow-x=45\)
\(\Leftrightarrow x=-45\)
\(b,5\left(x-6\right)-2\left(x+3\right)=12\)
\(\Leftrightarrow5x-30-2x-6=12\)
\(\Leftrightarrow3x=48\)
\(\Leftrightarrow x=16\)
\(c,3\left(x-4\right)-\left(8-x\right)=12\)
\(\Leftrightarrow3x-12-8+x=12\)
\(\Leftrightarrow4x=32\)
\(\Leftrightarrow x=8\)
\(d,-7\left(3x-5\right)+2\left(7x-14\right)=28\)
\(\Leftrightarrow-21x+35+14x-28=28\)
\(\Leftrightarrow-7x=21\)
\(\Leftrightarrow x=-3\)
Bài 1:
\(\frac{3}{5}+\frac{4}{15}=\frac{9}{15}+\frac{4}{15}=\frac{13}{15}\)
\(\frac{5}{6}:\frac{-7}{12}=\frac{5}{6}.\frac{-12}{7}=\frac{-60}{42}=\frac{-10}{7}\)
\(\frac{-21}{24}:\frac{-14}{8}=\frac{-21}{24}.\frac{-8}{14}=\frac{168}{336}=\frac{1}{2}\)
\(\frac{4}{5}:\frac{-8}{15}=\frac{4}{5}.\frac{-15}{8}=\frac{-60}{40}=\frac{-3}{2}\)
\(\frac{5}{12}-\frac{-7}{6}=\frac{5}{12}+\frac{7}{6}=\frac{5}{12}+\frac{14}{12}=\frac{19}{12}\)
\(\frac{-15}{16}.\frac{8}{25}=\frac{-120}{400}=\frac{-3}{10}\)
Bài 2 :
\(6\frac{4}{5}-\left(1\frac{2}{3}+3\frac{4}{5}\right)\)
\(=\frac{34}{5}-\left(\frac{5}{3}+\frac{19}{5}\right)\)
\(=\frac{34}{5}-\frac{5}{3}-\frac{19}{5}\)
\(=\left(\frac{34}{5}-\frac{19}{5}\right)-\frac{5}{3}\)
\(=3-\frac{5}{3}\)
\(=\frac{4}{3}\)
\(6\frac{5}{7}-\left(1\frac{2}{3}+2\frac{5}{7}\right)\)
\(=\frac{47}{7}-\left(\frac{5}{3}+\frac{19}{7}\right)\)
\(=\frac{47}{7}-\frac{5}{3}-\frac{19}{7}\)
\(=\left(\frac{47}{7}-\frac{19}{7}\right)-\frac{5}{3}\)
\(=4-\frac{5}{3}\)
\(=\frac{7}{3}\)
\(\frac{4}{19}.\frac{-3}{7}+\frac{-3}{7}.\frac{15}{19}+\frac{5}{7}\)
\(=\left(\frac{4}{19}+\frac{15}{19}\right).\frac{-3}{7}+\frac{5}{7}\)
\(=1.\frac{-3}{7}+\frac{5}{7}\)
\(=\frac{-3}{7}+\frac{5}{7}\)
\(=\frac{2}{7}\)
\(\frac{5}{9}.\frac{7}{13}+\frac{5}{9}.\frac{9}{13}-\frac{5}{9}.\frac{3}{13}\)
\(=\frac{5}{9}.\left(\frac{7}{13}+\frac{9}{13}-\frac{3}{13}\right)\)
\(=\frac{5}{9}.1\)
\(=\frac{5}{9}\)
1) (1-3/4 + 2/7) - ( 1/4 - 2/5 - 1)
= 1 - 3/4 + 2/7 - 1/4 + 2/5 + 1
= (1 - 3/4 - 1/4) + (2/7 + 2/5 +1)
= 0 + 59/35
= 59/35
2) -3/5 * 7/8 + (-3)/8 * 13/5
= -3*7/5*8 + -3*13/8*5
= -3/8 * 7/5 + -3/8 * 13/5
= -3/8 * (7/5 + 13/5)
= -3/8 * 4
= -3/2
3) -3/4 * 3/7 - 12/7 * 1/4 + 3/4 * (-9)/7
= 3/4 * -3/7 - 3*4/7 * 1/4 + 3/4 * (-9)/7
= 3/4 * -3/7 - 3/4 * 4/7 + 3/4 * -9/7
= 3/4 * (-3/7 - 4/7 - 9/7)
= 3/4 * -16/7
= -12/7
5) 1/3 - 3/4 + 3/5+ 1/57 -1/36 + 1/15 - 2/9
= (1/3 - 3/4 - 1/36 - 2/9) + (3/5 + 1/15) + 1/57
= (12/36 - 27/36 - 1/36 - 8/36) + (9/15 + 1/15) + 1/57
= -2/3 + 2/3 + 1/57
= 0 + 1/57
= 1/57
6) 0,5 + 1/3 - 0,4 - 5/7 + 1/6 + 4/35 + 1/41
= 1/2 + 1/3 - 2/5 - 5/7 + 1/6 + 4/35 + 1/41
= (1/2 + 1/3 + 1/6) + (4/35 - 2/5 - 5/7) + 1/41
= (3/6 + 2/6 + 1/6) + (4/35 - 14/35 - 25/35) + 1/41
= 1 + (-1) + 1/41
= 0 + 1/41
=1/41
Chúc bạn học tốt!
a) 9/14 > 5/14
b) 5/6 .> 4/12 = 2/6
c) 7/28 > 1/7 = 4/28
d) 4/7 = 12/21 < 12/3 = 4/21
a) 9/14 > 5/14
b) 5/6 > 4/12
c) 7/28 > 1/7
d) 4/7 < 2/3