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*** TÍNH nhanh:
`a)` $\frac{1}{10}$ + $\frac{2}{10}$ + $\frac{3}{10}$ + $\frac{4}{10}$ + $\frac{5}{10}$ + $\frac{6}{10}$ + $\frac{7}{10}$ + $\frac{8}{10}$ + $\frac{9}{10}$
`b)` `4343/ 7171` + `4343/ 7171` + `4343/ 7171` + `4343/ 7171`
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*** TÍNH nhanh:
`a)` $\frac{1}{10}$ + $\frac{2}{10}$ + $\frac{3}{10}$ + $\frac{4}{10}$ + $\frac{5}{10}$ + $\frac{6}{10}$ + $\frac{7}{10}$ + $\frac{8}{10}$ + $\frac{9}{10}$
`b)` `4343/ 7171` + `4343/ 7171` + `4343/ 7171` + `4343/ 7171`
ĐÁP ÁN:
a)
$\frac{1}{10}$ + $\frac{2}{10}$ + $\frac{3}{10}$ + $\frac{4}{10}$ + $\frac{5}{10}$ + $\frac{6}{10}$ + $\frac{7}{10}$ + $\frac{8}{10}$ + $\frac{9}{10}$
= $\frac{1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9}{10}$
= $\frac{( 1 + 9 ) + ( 2 + 8 ) + ( 3 + 7 ) + ( 4 +6) + 5}{10}$
=$\frac{10 + 10 + 10 + 10 + 5}{10}$
= `45/10` = `9/2`
b)
` 4343/ 7171` + `4343/7171` + `4343/ 7171` + `4343/ 7171`
= 4 x `4343/ 7171`
= 4 x $\frac{43 * 101}{71 * 101}$ ( gạch hai số `101` ở tử và mẫu, dấu * là dấu nhân nhé)
= 4 x `43/71`
= 4 x `43/ 71`
= `172/ 71`
Giải thích các bước giải:
`a)` `1/10 + 2/10 + 3/10 + 4/10 + 5/10 + 6/10 + 7/10 + 8/10 + 9/10`
`= (1/10 + 9/10) + (2/10 + 8/10) + (3/10 + 7/10) + (4/10 + 6/10) + 5/10`
`= 1 + 1 + 1 + 1 + 5/10`
`= 4 + 1/2`
`= 4,5`
`b)` `4343/7171 + 4343/7171 + 4343/7171 + 4343/7171`
`=` `4343/7171 × 4`
`=` `43/71 × 4`
`=` `172/71`