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a, 1/3 = 1/4 + 1/12
b, 9/12 = 3/4 = 1/3 + 1/4 + 1/6
c, 9/15 = 3/5 = 1/3 + 1/15 + 1/5
Ta có:
\(1=\frac{1}{2}+\frac{1}{2}=\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}\)
\(\frac{1}{3}:\frac{1}{4}=\frac{1}{12}\)
\(\frac{1}{12}.4=\frac{1}{3}\)
\(\frac{1}{12}.3+\frac{1}{12}=\frac{1}{3}\Rightarrow\frac{1}{12}+\frac{1}{4}=\frac{1}{3}\)
2 phân số đó là 1/12 và 1/4
\(\frac{9}{12}=\frac{1}{3}+\frac{1}{4}+\frac{1}{6}\)
\(\frac{9}{15}=\frac{1}{3}+\frac{1}{5}+\frac{1}{15}\)
_HT_
A. Gọi 5/12 = A/12 + B/12
Mà 5 = 1+4 => 5/12 = 1/12 + 4/12
=> 5/12 = 1/12 + 1/3
B. 8/9 = 8x6/9x6 => 8/9 = 48/54
48/54 = 3/54 +18/54 + 27/54
=> 48/54= 1/18 + 1/3 + 1/2
Vì vậy 8/9 = 1/18 + 1/3 + 1/2
\(\dfrac{7}{12}=\dfrac{3}{12}+\dfrac{4}{12}=\dfrac{1}{4}+\dfrac{1}{3}\)
\(\dfrac{13}{27}=\dfrac{9}{27}+\dfrac{4}{27}=\dfrac{1}{3}+\dfrac{4}{27}\)
\(\dfrac{7}{12}\) = \(\dfrac{1+6}{12}\) = \(\dfrac{1}{12}\) + \(\dfrac{6}{12}\) = \(\dfrac{1}{12}\) + \(\dfrac{1}{2}\)
\(\dfrac{7}{12}\) = \(\dfrac{3+4}{12}\) = \(\dfrac{3}{12}\) + \(\dfrac{4}{12}\) = \(\dfrac{1}{4}\) + \(\dfrac{1}{3}\)
\(\dfrac{13}{27}\) = \(\dfrac{1+12}{27}\) = \(\dfrac{1}{27}\) + \(\dfrac{12}{27}\) = \(\dfrac{1}{27}\) + \(\dfrac{4}{9}\)
\(\dfrac{13}{27}\) = \(\dfrac{4+9}{27}\) = \(\dfrac{4}{27}\) + \(\dfrac{9}{27}\) = \(\dfrac{4}{27}\) + \(\dfrac{1}{3}\)
\(\dfrac{13}{27}\) = \(\dfrac{6+7}{27}\) = \(\dfrac{6}{27}\) + \(\dfrac{7}{27}\) = \(\dfrac{2}{9}\) + \(\dfrac{7}{27}\)
ta có :
\(\frac{1}{3}=\frac{1}{4}+\frac{1}{12}\)
\(\frac{9}{12}=\frac{1}{2}+\frac{1}{5}+\frac{1}{20}\)
\(\frac{9}{15}=\frac{1}{2}+\frac{1}{11}+\frac{1}{110}\)
3/14 viết dưới dạng tổng nhưng có tử số bằng 1