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a: =(5/7+2/7)+(4/3+5/3)=3+1=4
b: =(17/12+7/12)+(29/7-8/7)
=2+3=5
c: =(2/5+3/5)+(6/9+1/3)+(7/4+1/4)
=1+2+1
=4
d: =(1/3+2/3)+(13/17+4/17)+(29/11+4/11)
=1+1+3=5
1) Ta có: \(\left(\dfrac{3}{4}\cdot\dfrac{5}{97}+\dfrac{1}{9}\cdot\dfrac{13}{47}\right)\cdot\left(\dfrac{1}{5}-\dfrac{7}{25}\cdot\dfrac{5}{7}\right)\)
\(=\left(\dfrac{3}{4}\cdot\dfrac{5}{97}+\dfrac{1}{9}\cdot\dfrac{13}{47}\right)\cdot\left(\dfrac{1}{5}-\dfrac{1}{5}\right)\)
=0
2) Ta có: \(\dfrac{8}{17}\cdot\dfrac{4}{15}+\dfrac{8}{17}\cdot\dfrac{22}{15}-\dfrac{8}{15}\cdot\dfrac{9}{17}\)
\(=\dfrac{8}{17}\left(\dfrac{4}{15}+\dfrac{22}{15}-\dfrac{9}{15}\right)\)
\(=\dfrac{8}{17}\cdot\dfrac{15}{15}=\dfrac{8}{17}\)
3) Ta có: \(\dfrac{2021}{2}\cdot\dfrac{1}{3}+\dfrac{4042}{4}\cdot\dfrac{1}{5}+\dfrac{6063}{3}\cdot\dfrac{22}{15}\)
\(=\dfrac{2021}{2}\left(\dfrac{1}{3}+\dfrac{1}{5}\right)+2021\cdot\dfrac{22}{15}\)
\(=\dfrac{2021}{2}\cdot\dfrac{8}{15}+\dfrac{2021}{2}\cdot\dfrac{44}{15}\)
\(=\dfrac{2021}{2}\cdot\dfrac{52}{15}\)
\(=\dfrac{52546}{15}\)
4) Ta có: \(\dfrac{4}{7}\cdot\dfrac{2}{13}+\dfrac{8}{13}:\dfrac{7}{4}+\dfrac{4}{7}:\dfrac{13}{2}+\dfrac{4}{7}\cdot\dfrac{1}{13}\)
\(=\dfrac{4}{7}\left(\dfrac{2}{13}+\dfrac{8}{13}+\dfrac{2}{13}+\dfrac{1}{13}\right)\)
\(=\dfrac{4}{7}\)
2 - 5/6 = 2/1 - 5/6 = 12/6 - 5/6 = 12-5/ 6= 7/6
7/8 + 3/4 = 7/8 + 6 / 8 = 7+8/8 = 15/8
2/5 + 3/4 = 8/20 + 15/20 = 8+15/20 = 23/20
2 - 5/6 = 2/1 - 5/6 = 12/6 - 5/6 = 12-5/6 = 7/6
7/8 + 3/4 = 7/8 + 6/8 = 7 + 8/8 =15/8
2/5 + 3/4 = 8/20 + 15/20 = 8 + 15/20 = 23/20
\(\frac{4}{3}+\frac{x}{y}=5\)
\(\frac{x}{y}=5-\frac{4}{3}\)
\(\frac{x}{y}=\frac{11}{3}\);
\(\frac{3}{4}×\frac{x}{y}=\frac{6}{5}\)
\(\frac{x}{y}=\frac{6}{5}:\frac{3}{4}\)
\(\frac{x}{y}=\frac{6}{5}×\frac{4}{3}\)
\(\frac{x}{y}=\frac{8}{5}\);
\(\frac{7}{8}×\frac{4}{7}+\frac{5}{9}\)
\(=\frac{7×4}{4×2×7}+\frac{5}{9}\)
\(=\frac{1}{2}+\frac{5}{9}\)
\(=\frac{1×9}{2×9}+\frac{5×2}{9×2}\)
\(=\frac{9}{18}+\frac{10}{18}\)
\(=\frac{19}{18}\);
\(\frac{8}{9}:\frac{4}{3}-\frac{4}{7}\)
\(=\frac{8}{9}×\frac{3}{4}-\frac{4}{7}\)
\(=\frac{4×2×3}{3×3×4}-\frac{4}{7}\)
\(=\frac{2}{3}-\frac{4}{7}\)
\(=\frac{14}{21}-\frac{12}{21}\)
\(=\frac{2}{21}\);
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: 3/7=18/42
5/6=35/42
b: 5/17=15/51
9/51=9/51
c: 3/8=9/24
5/6=20/24
g: 7/30=28/120
13/60=26/120
9/40=27/120
1a) \(\frac{12}{17}+\frac{19}{17}+\frac{8}{17}\)
\(=\left(\frac{12}{17}+\frac{8}{17}\right)+\frac{19}{17}\)
\(=\frac{20}{17}+\frac{19}{17}\)
\(=\frac{39}{17}\)
b) \(\frac{2}{5}+\frac{7}{12}+\frac{13}{12}\)
\(=\frac{2}{5}+\frac{5}{3}\)
\(=\frac{31}{15}\)
2) \(\frac{25}{3}-x=\frac{5}{6}\)
\(x=\frac{25}{3}-\frac{5}{6}\)
\(x=\frac{45}{6}\)
ủng hộ tớ nha
\(\dfrac{1}{2}+\dfrac{5}{4x}=\dfrac{17}{8}\)
\(\dfrac{5}{4x}=\dfrac{17}{8}-\dfrac{1}{2}\)
\(\dfrac{5}{4x}=\dfrac{13}{8}\)
\(x=\dfrac{5}{4}:\dfrac{13}{8}\)
\(x=\dfrac{10}{13}\)