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`1/3 -1/2 +a/b =1/2`
`=> a/b =1/2 -(1/3 -1/2)`
`=> a/b= 1/2 - 1/3 +1/2`
`=> a/b= 3/6 -2/6 + 3/6`
`=> a/b= 4/6`
`=> a/b=2/3`
Vậy `1/3-1/2 + 2/3= 1/2`
` @`\(Minnekchan\)
\(\dfrac{1}{3}-\dfrac{1}{2}+\dfrac{a}{b}=\dfrac{1}{2}\)
\(\dfrac{a}{b}=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{2}\)
\(\dfrac{a}{b}=1-\dfrac{1}{3}\)
\(\dfrac{a}{b}=\dfrac{2}{3}\)
a, \(\dfrac{4}{7}\) \(\times\) \(\dfrac{a}{b}\) - \(\dfrac{1}{3}\) = \(\dfrac{1}{21}\)
\(\dfrac{4}{7}\) \(\times\) \(\dfrac{a}{b}\) = \(\dfrac{1}{21}\) + \(\dfrac{1}{3}\)
\(\dfrac{4}{7}\) \(\times\) \(\dfrac{a}{b}\) = \(\dfrac{8}{21}\)
\(\dfrac{a}{b}\) = \(\dfrac{8}{21}\): \(\dfrac{4}{7}\)
\(\dfrac{a}{b}\) = \(\dfrac{2}{3}\)
b, \(\dfrac{a}{b}\) - \(\dfrac{1}{2}\) \(\times\) \(\dfrac{2}{3}\) = \(\dfrac{2}{7}\)
\(\dfrac{a}{b}\) - \(\dfrac{1}{3}\) = \(\dfrac{2}{7}\)
\(\dfrac{a}{b}\) = \(\dfrac{2}{7}\) + \(\dfrac{1}{3}\)
\(\dfrac{a}{b}\) = \(\dfrac{13}{21}\)
a, Ta có : \(\frac{1}{2}=\frac{6}{12}\); \(\frac{1}{3}=\frac{4}{12}\)
Phân số tối giản ở giữa 2 phân số này là \(\frac{5}{12}\)
b, \(\frac{1}{3}=\frac{2}{6}\); \(\frac{2}{3}=\frac{4}{6}\)
Phân số ở giữa 2 phân số này là \(\frac{3}{6}=\frac{1}{2}\)
a, \(\dfrac{4}{7}\). \(\dfrac{a}{b}\) - \(\dfrac{1}{3}\) = \(\dfrac{1}{21}\)
\(\dfrac{4}{7}\).\(\dfrac{a}{b}\) = \(\dfrac{1}{21}\) + \(\dfrac{1}{3}\)
\(\dfrac{4}{7}\).\(\dfrac{a}{b}\) = \(\dfrac{8}{21}\)
\(\dfrac{a}{b}\) = \(\dfrac{8}{21}\):\(\dfrac{4}{7}\)
\(\dfrac{a}{b}\) = \(\dfrac{2}{3}\)
b, \(\dfrac{a}{b}\) + \(\dfrac{2}{3}\).\(\dfrac{1}{3}\) = \(\dfrac{2}{3}\)
\(\dfrac{a}{b}\) + \(\dfrac{2}{9}\) = \(\dfrac{2}{3}\)
\(\dfrac{a}{b}\) = \(\dfrac{2}{3}\) - \(\dfrac{2}{9}\)
\(\dfrac{a}{b}\) = \(\dfrac{4}{9}\)
c, \(\dfrac{a}{b}\) - \(\dfrac{1}{2}.\)\(\dfrac{2}{3}\) = \(\dfrac{2}{7}\)
\(\dfrac{a}{b}\) - \(\dfrac{1}{3}\) = \(\dfrac{2}{7}\)
\(\dfrac{a}{b}\) = \(\dfrac{2}{7}\) + \(\dfrac{1}{3}\)
\(\dfrac{a}{b}\) = \(\dfrac{13}{21}\)
d, \(\dfrac{11}{13}\): \(\dfrac{a}{b}\): \(\dfrac{2}{3}\) = 2\(\dfrac{7}{13}\)
\(\dfrac{11}{13}\): \(\dfrac{a}{b}\):\(\dfrac{2}{3}\) = \(\dfrac{33}{13}\)
\(\dfrac{11}{13}\): \(\dfrac{a}{b}\) = \(\dfrac{33}{13}\) \(\times\) \(\dfrac{2}{3}\)
\(\dfrac{11}{13}\): \(\dfrac{a}{b}\) = \(\dfrac{66}{39}\)
\(\dfrac{a}{b}\) = \(\dfrac{11}{13}\) : \(\dfrac{66}{39}\)
\(\dfrac{a}{b}\) = \(\dfrac{1}{2}\)
5 - (a/b + 1/2) = 7/3
5 - a/b - 1/2 = 7/3
9/2 - a/b = 7/3
27/6 - a/b = 14/6
a/b = 27/6 - 14/6
a/b = 13/6
5 - (a/b+1/2) = 2 và 1/3
5 - a/b - 1/2 = 7/3
5 - 1/2 - a/b = 7/3
9/2 - a/b = 7/3
a/b = 9/2 - 7/3
a/b = 13/6
Tổng của 2 phân số đã cho là:
6/7+1/9=61/63
Sau khi thêm a/b vào 1/9 và bớt a/b ở 6/7 thì tổng ko thay đổi nên tổng vẫn là 61/63
Phan số bé là:61/63 : (3+1)= 61/252
*Nếu 6/7 - a/b > 1/9 +a/b
Phân số a/b cần tìm là : 6/7 + 61/252=155/252
Đáp số: 155/252
a/b*3/5=1/5+2/3
a/b*3/5=13/15
a/b=13/15:3/5
=> a/b=13/9
Vậy phân số a/b cần tìm là 13/9
ủng hộ nha
\(\frac{a}{b}\cdot\frac{3}{5}=\frac{1}{5}+\frac{2}{3}\)
\(\Rightarrow\frac{a}{b}\cdot\frac{3}{5}=\frac{3}{15}+\frac{10}{15}\)
\(\Rightarrow\frac{a}{b}\cdot\frac{3}{5}=\frac{13}{15}\)
\(\Rightarrow\frac{a}{b}=\frac{13}{15}:\frac{3}{5}\)
\(\Rightarrow\frac{a}{b}=\frac{13}{15}\cdot\frac{5}{3}\)
\(\Rightarrow\frac{a}{b}=\frac{13}{9}\)
Vậy \(\frac{a}{b}=\frac{13}{9}\)
=> 5 - a/b - 1/2 = 7/3
=> 5 - a/b = 7/3 + 1/2
=> 5 - a/b = 17/6
=> a/b = 5 - 17/6
=> a/b = 13/6
a/b + 1/2 = 5 - 21/3
a/b + 1/2 = 15/3 - 21/3
a/b + 1/2 = 2
a/b = 2 - 1/2
a/b = 4/2 - 1/2
a/b = 3/2