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}`