Tính nhanh giúp mình với 1/3+1/6+1/12-1/24+1/48-1/96+1/192 03/07/2021 Bởi Ariana Tính nhanh giúp mình với 1/3+1/6+1/12-1/24+1/48-1/96+1/192
$\text{Đáp án:}$ $\text{$\frac{107}{192}$}$ $\text{Giải thích các bước giải:}$ $\text{$\frac{1}{3}$ +$\frac{1}{6}$ +$\frac{1}{12}$ -$\frac{1}{24}$ + $\frac{1}{48}$-$\frac{1}{96}$+$\frac{1}{192}$}$ $\text{=$\frac{64}{192}$ +$\frac{32}{192}$ +$\frac{16}{192}$ -$\frac{8}{192}$ + $\frac{4}{192}$-$\frac{2}{192}$+$\frac{1}{192}$}$ $\text{=$\frac{64+32+16-8+4-2+1}{192}$}$ $\text{$\frac{107}{192}$}$ Bình luận
$#min$ $\dfrac{1}{3}$ $+$ $\dfrac{1}{6}$ $+$ $\dfrac{1}{12}$ $-$ $\dfrac{1}{24}$ $+$ $\dfrac{1}{48}$ $-$ $\dfrac{1}{96}$ $+$ $\dfrac{1}{192}$ = $\dfrac{64}{192}$ $+$ $\dfrac{32}{192}$ $+$ $\dfrac{16}{192}$ $-$ $\dfrac{8}{192}$ $+$ $\dfrac{4}{192}$ $-$ $\dfrac{2}{192}$ $+$ $\dfrac{1}{192}$ = $\dfrac{64+32+16-8+4-2+1}{192}$ = $\dfrac{107}{192}$ Bình luận
$\text{Đáp án:}$
$\text{$\frac{107}{192}$}$
$\text{Giải thích các bước giải:}$
$\text{$\frac{1}{3}$ +$\frac{1}{6}$ +$\frac{1}{12}$ -$\frac{1}{24}$ + $\frac{1}{48}$-$\frac{1}{96}$+$\frac{1}{192}$}$
$\text{=$\frac{64}{192}$ +$\frac{32}{192}$ +$\frac{16}{192}$ -$\frac{8}{192}$ + $\frac{4}{192}$-$\frac{2}{192}$+$\frac{1}{192}$}$
$\text{=$\frac{64+32+16-8+4-2+1}{192}$}$
$\text{$\frac{107}{192}$}$
$#min$
$\dfrac{1}{3}$ $+$ $\dfrac{1}{6}$ $+$ $\dfrac{1}{12}$ $-$ $\dfrac{1}{24}$ $+$ $\dfrac{1}{48}$ $-$ $\dfrac{1}{96}$ $+$ $\dfrac{1}{192}$
= $\dfrac{64}{192}$ $+$ $\dfrac{32}{192}$ $+$ $\dfrac{16}{192}$ $-$ $\dfrac{8}{192}$ $+$ $\dfrac{4}{192}$ $-$ $\dfrac{2}{192}$ $+$ $\dfrac{1}{192}$
= $\dfrac{64+32+16-8+4-2+1}{192}$
= $\dfrac{107}{192}$