1.Phân số ?
a) 20/123 < ?/123 < 22/123
b) 4/6< ?/27 < 7/9
2.Tính phân số :
1/6 + 1/12 + 1/20 + 1/30 = ....................................................................
= .....................................................................
3.Tìm x
A) x - 11/12 = 1/5
B) 48/13 - x = 2
C ) x - 13/15 = 16/19
D) x : 13/15 = 18/19
Cần cực gấp !
`a) 20/123 < x/123 < 22/123`
`<=>x=21`
`b) 4/6< x/27 < 7/9`
`<=> 18/27< x/27 < 21/27`
`<=>x={19;20}`
`2) 1/6 + 1/12 + 1/20 + 1/30 =(10+5+3+2)/60=20/60=1/3`
`3)a)“x-11/12=1/5`
`<=>x=1/5+11/12=67/60`
`b) 48/13 – x = 2`
`<=> x = 48/13 -2=22/13`
`c ) x – 13/15 = 16/19`
`<=> x = 16/19+ 13/15=487/285`
`d) x : 13/15 = 18/19`
`<=> x = 18/19xx13/15=78/95`
Đáp án:
1.
a) `\frac{20}{123}` < `\frac{?}{123}` < `\frac{22}{123}`
Vì 20 < 21 < 22 nên `\frac{?}{123}` = `\frac{21}{123}` <
b) `\frac{4}{6}`< `\frac{?}{27}` < `\frac{7}{9}`
Ta quy đồng mẫu số:
`\frac{4}{6}` = `\frac{2}{3}` = `\frac{2×9}{3×9}` = `\frac{18}{27}`
`\frac{7}{9}` =`\frac{7×3}{9×3}` = `\frac{21}{27}`
Vì 18 < 19 ; 20 <21 nên `\frac{?}{27}` = `\frac{19}{27}` hoặc `\frac{19}{27}` = `\frac{20}{27}`
2. `\frac{1}{6}` + `\frac{1}{12}` + `\frac{1}{20}` + `\frac{1}{30}`
= `\frac{10}{60}` + `\frac{5}{60}` + `\frac{3}{60}` + `\frac{2}{60}`
= `\frac{20}{60}` = `\frac{1}{3}`
3.
a) x – `\frac{11}{12}` = `\frac{1}{5}`
x = `\frac{1}{5}` + `\frac{11}{12}`
x = `\frac{67}{60}`
b) `\frac{48}{13}` – x = 2
x = `\frac{48}{13}` – 2
x = `\frac{22}{13}`
c) x – `\frac{13}{15}` = `\frac{16}{19}`
x = `\frac{16}{19}` + `\frac{13}{15}`
x = `\frac{487}{285}`
d) x : `\frac{13}{15}` = `\frac{18}{19}`
x = `\frac{18}{19}` × `\frac{13}{15}`
x = `\frac{78}{95}`