Câu 1: 8/7>8/5>9/10>9/11

Câu 2:

1/6=1/2-1/3

5/6=1/3+1/2

7/8=1/8+1/4+1/2

`k/(a(a+k))`

`=(k+a-a)/(a(a+k))`

`=(k+a)/(a(a+k))-a/(a(a+k))`

`=1/a-1/(a+k)`

\(\frac{1}{3}\)+ \(\frac{1}{2}\) = \(\frac{5}{6}\)

4/3x6 + 4/6x9 + 4/9x12 +4/12x15

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

¾ viết dưới dạng tổng

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

5/6 = (3 + 2)/6 = 3/6 + 2/6
        = 1/2 + 1/3

ko ghi đc dấu hai chấm

5/6 = (3 + 2)/6 = 3/6 + 2/6
        = 1/2 + 1/3

\(a,\dfrac{1}{2}=\dfrac{1}{3}+\dfrac{1}{6}\\ \dfrac{1}{3}=\dfrac{1}{4}+\dfrac{1}{12}\\ b,\dfrac{1}{2}=\dfrac{1}{12}+\dfrac{1}{4}+\dfrac{1}{6};\dfrac{1}{3}=\dfrac{1}{24}+\dfrac{1}{8}+\dfrac{1}{6}\\ c,\dfrac{1}{2}=\dfrac{1}{24}+\dfrac{1}{12}+\dfrac{1}{8}+\dfrac{1}{4};\dfrac{1}{3}=\dfrac{1}{48}+\dfrac{1}{12}+\dfrac{1}{16}+\dfrac{1}{6}\\ d,\dfrac{1}{2}=\dfrac{1}{1}-\dfrac{1}{2};\dfrac{1}{3}=\dfrac{1}{2}-\dfrac{1}{6}\)