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a) y + 3/7 x 21/9 = 5
y + 3/7 x 7/3 = 5
y + 1 = 5
y = 4
b) y x 3/5 - 1/2 = 4/5
y x 3/5 = 4/5 + 1/2
y x 3/5 = 13/10
y = 13/6
c) 9/8 - y + 2/5 = 1/4
y - 2/5 = 9 /8 - 1/4
y - 2/5 = 7/8
y = 51/40
d) y - 6/5 : 2/3 = 5/6
y - 9/5 = 5/6
y = 79/30
e) y : 7/8 + 3/4 = 7/4
y : 7/8 = 1
y = 7/8
a: =>x=3/7+3/5=15/35+21/35=36/35
b: =>x/35=4/5-5/7=28/35-25/35=3/35
=>x=3
c: =>x<3/4+8/4=11/4
=>\(x\in\left\{0;1;2;3\right\}\)
d: =>5/3<x<5/6+24/6=29/6
=>\(x\in\left\{2;3;4\right\}\)
e: =>x<10/12-9/12=1/12
=>x=0
f: =>2/3<x<12/6-5/6=7/6
=>x=1
a: \(\dfrac{5}{3}\cdot\dfrac{7}{10}=\dfrac{5}{10}\cdot\dfrac{7}{3}=\dfrac{14}{3}>2\)
\(\dfrac{5}{7}:\dfrac{7}{10}=\dfrac{5}{7}\cdot\dfrac{10}{7}=\dfrac{50}{49}< 2\)
=>\(\dfrac{5}{3}\cdot\dfrac{7}{10}>\dfrac{5}{7}:\dfrac{7}{10}\)
b: \(\dfrac{4}{5}\cdot\dfrac{5}{6}=\dfrac{4}{6}=\dfrac{2}{3}\)
\(\dfrac{8}{9}:\dfrac{4}{3}=\dfrac{8}{9}\cdot\dfrac{3}{4}=\dfrac{8}{4}\cdot\dfrac{3}{9}=\dfrac{2}{3}\)
Do đó: \(\dfrac{4}{5}\cdot\dfrac{5}{6}=\dfrac{8}{9}:\dfrac{4}{3}\)
c: \(\dfrac{5}{11}\cdot\dfrac{33}{15}=\dfrac{5}{15}\cdot\dfrac{33}{11}=\dfrac{3}{3}=1\)
\(\dfrac{6}{17}\cdot\dfrac{34}{25}=\dfrac{34}{17}\cdot\dfrac{6}{25}=2\cdot\dfrac{6}{25}=\dfrac{12}{25}< 1\)
=>\(\dfrac{5}{11}\cdot\dfrac{33}{15}>\dfrac{6}{17}\cdot\dfrac{34}{25}\)
d: \(\dfrac{15}{19}\cdot\dfrac{38}{5}=\dfrac{15}{5}\cdot\dfrac{38}{19}=3\cdot2=6\)
\(\dfrac{15}{16}:\dfrac{3}{8}=\dfrac{15}{16}\cdot\dfrac{8}{3}=\dfrac{15}{3}\cdot\dfrac{8}{16}=\dfrac{5}{2}\)<6
=>\(\dfrac{15}{19}\cdot\dfrac{38}{5}>\dfrac{15}{16}:\dfrac{3}{8}\)
\(a,15+\dfrac{9}{3}=\dfrac{45}{3}+\dfrac{9}{3}=\dfrac{54}{3}=18\)
\(b,\dfrac{4}{9}-\dfrac{5}{18}=\dfrac{8}{18}-\dfrac{5}{18}=\dfrac{3}{18}\)
\(c,\dfrac{3}{5}\times\dfrac{5}{7}=\dfrac{3}{7}\)
\(d,\dfrac{4}{7}:\dfrac{2}{7}=\dfrac{4}{7}\times\dfrac{7}{2}=2\)
\(\frac{4}{3}+\frac{x}{y}=5\)
\(\frac{x}{y}=5-\frac{4}{3}\)
\(\frac{x}{y}=\frac{11}{3}\);
\(\frac{3}{4}×\frac{x}{y}=\frac{6}{5}\)
\(\frac{x}{y}=\frac{6}{5}:\frac{3}{4}\)
\(\frac{x}{y}=\frac{6}{5}×\frac{4}{3}\)
\(\frac{x}{y}=\frac{8}{5}\);
\(\frac{7}{8}×\frac{4}{7}+\frac{5}{9}\)
\(=\frac{7×4}{4×2×7}+\frac{5}{9}\)
\(=\frac{1}{2}+\frac{5}{9}\)
\(=\frac{1×9}{2×9}+\frac{5×2}{9×2}\)
\(=\frac{9}{18}+\frac{10}{18}\)
\(=\frac{19}{18}\);
\(\frac{8}{9}:\frac{4}{3}-\frac{4}{7}\)
\(=\frac{8}{9}×\frac{3}{4}-\frac{4}{7}\)
\(=\frac{4×2×3}{3×3×4}-\frac{4}{7}\)
\(=\frac{2}{3}-\frac{4}{7}\)
\(=\frac{14}{21}-\frac{12}{21}\)
\(=\frac{2}{21}\);
Vì phân số \(\frac{17}{20}< 1\)nên mẫu số của 3 phân số khác 1
Bài này đáp án sẽ ra số nguyên âm thuộc về lớp 6 hay đây là 1 dạng nâng cao.
các số lần lượt là: \(\hept{\begin{cases}1;-6;60\\1;-5;20\\1;-4;10\end{cases}}\)
a,Cách 1: (6/11 + 5/11 ) x 3/7 Cách 2 :(6/11 + 5/11) x 3/7
= 1 x 3/7 =6/11 x 3/7 + 5/11 x 3/7
= 3/7 = 18/77 + 15/77
= 3/7
b, Cách 1:3/5 x 7/9 - 3/5 x 2/9 Cách 2 :3/5 x 7/9 - 3/5 x 2/9
= 7/15 - 2/15 = 3/5 x (7/9 - 2/9 )
= 1/3 = 3/5 x 5/9
= 1/3
c, Cách 1:(6/7 - 4/7) : 2/5 Cách 2: ( 6/7- 4/7 ) : 2/5
= 2/7 : 2/5 = 6/7 : 2/5 - 4/7 : 2/5
= 5/7 = 15/7 - 10/7
= 5/7
d,Cách 1:8/15 : 2/11 + 7/15 : 2/11 Cách 2:8/15 : 2/11 +7/15 : 2/11
= 88/30 + 77/30 =(8/15+7/15) :2/11
= 11/2 = 1 : 2/11
= 11/2
Bài 2 cậu tự làm nhé !
a)\(=\dfrac{3}{3}+\dfrac{4}{3}=\dfrac{7}{3}\)
b)\(=\dfrac{5}{9}\times\dfrac{3}{2}=\dfrac{15}{18}=\dfrac{5}{6}\)
d)\(=\left(\dfrac{12}{8}-\dfrac{3}{8}\right)\times2=\dfrac{9}{8}\times2=\dfrac{18}{8}=\dfrac{9}{4}\)
c)\(=\dfrac{4}{3}-\dfrac{5}{6}=\dfrac{8}{6}-\dfrac{5}{6}=\dfrac{3}{6}=\dfrac{1}{2}\)
a) 1 + 4/3 = 7/3
b) 5/9 : 2/3 = 5/6
c ) 4/3 -1/3 x 5/2
= 1 x 5/2
= 5/2
d) ( 3/2 - 3/8) : 1/2
= 9/8 : 1/2
= 9/4
e) 15/16 : 3/8 x 3/4
= 5/2 x 3/4
= 15/8
f) 7/19 x 1/3 x 7/19 x 2/3
= 7/19 x (1/3 x 2/3)
= 7/19 x 2/9
= 14/171
g) 3/5 x 8/27 x 25/3
= 3/5 x 25/3 x 8/27
= 5 x 8/27
= 40/27
h) 1/5 + 4/11 + 4/5 + 7/11
= (1/5 + 4/5) + (4/11 + 7/11)
= 1 + 1
= 2
x= \(\frac{5}{3}-\frac{3}{7}=\frac{26}{21}\)
x=\(\frac{3}{10}+\frac{4}{5}=\frac{11}{10}\)
x=\(\frac{4}{3}-\frac{4}{5}=\frac{8}{15}\)
x=\(\frac{7}{8}:\frac{5}{6}=\frac{7}{8}x\frac{6}{5}=\frac{42}{40}=\frac{21}{10}\)
x=\(\frac{3}{2}x\frac{9}{7}=\frac{27}{14}\)
x=\(\frac{14}{15}:\frac{3}{4}=\frac{14}{15}x\frac{4}{3}=\frac{56}{45}\)
Chúc bạn học tốt!