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Số số hạng la:
(29-1):2+1=15(số)
Tổng là:
\(\dfrac{30\cdot15}{2}=225\)
\(\dfrac{3}{8}+\dfrac{9}{2}\times\dfrac{12}{16}-\dfrac{9}{4}:3\)
= \(\dfrac{3}{4}\times\dfrac{1}{2}+\dfrac{9}{2}\times\dfrac{3}{4}-\dfrac{3}{4}\times3:3\)
= \(\dfrac{3}{4}\times\dfrac{1}{2}+\dfrac{9}{2}\times\dfrac{3}{4}-\dfrac{3}{4}\times1\)
= \(\dfrac{3}{4}\times\left(\dfrac{1}{2}+\dfrac{9}{2}-1\right)\)
= \(\dfrac{3}{4}\times\left(5-1\right)\)
= \(\dfrac{3}{4}\times4\)
= 3
1/2 + 2/3 - 3/4 * 4/5 * 5/6 * 6/7 * 7/8 * 8/9 *...* 29/30 : 6/10
= 1/2 + 2/3 - 1/10 : 6/10
= 1/2 + 2/3 - 1/6
= 1
a. \(\left(\dfrac{3}{7}+\dfrac{4}{7}\right)+\dfrac{4}{5}\)= \(1+\dfrac{4}{5}=\dfrac{9}{5}\)
b. \(\left(\dfrac{6}{11}+\dfrac{5}{11}\right)+\dfrac{2}{15}=1+\dfrac{2}{15}=\dfrac{17}{15}\)
\(c.\left(\dfrac{9}{32}+\dfrac{21}{2}\right)+\dfrac{6}{13}=\left(\dfrac{9}{32}+\dfrac{336}{32}\right)+\dfrac{6}{13}=\dfrac{4677}{416}\)
\(d.\left(\dfrac{4}{9}+\dfrac{15}{27}\right)+\dfrac{2}{5}=1+\dfrac{2}{5}=\dfrac{7}{5}\)
Bài 2:
Số phần tiền mẹ còn lại là:
\(1-\dfrac{1}{2}-\dfrac{2}{5}=\dfrac{1}{10}\) số tiền lúc đầu
\(=\dfrac{3}{7}\cdot\left(\dfrac{4}{9}+\dfrac{5}{9}+1\right)=\dfrac{3}{7}\cdot2=\dfrac{6}{7}\)
\(=\dfrac{3}{7}\times\dfrac{4}{9}\times\dfrac{5}{9}\times\dfrac{3}{7}+\dfrac{3}{7}=\dfrac{3}{7}\times\left(\dfrac{4}{9}+\dfrac{5}{9}+1\right)=\dfrac{3}{7}\times2=\dfrac{6}{7}\)
a,\(\frac{1}{5}\times\frac{2}{9}\div\frac{1}{15}\)
\(=\frac{1}{5}\times\frac{2}{9}\times15\)
\(=\left(\frac{1}{5}\times15\right)\times\frac{2}{9}\)
\(=3\times\frac{2}{9}\)
\(=\frac{2}{3}\)
b\(\frac{4}{15}\times\frac{7}{15}\times\frac{5}{4}\)
\(=\left(\frac{4}{15}\times\frac{5}{4}\right)\times\frac{7}{15}\)
\(=\frac{1}{3}\times\frac{7}{15}\)
\(=\frac{7}{45}\)
c,\(\frac{21}{23}\times\frac{5}{11}\times\frac{44}{?}\)
d,\(26\times\frac{13}{42}\div13\)
\(=\left(26\div13\right)\times\frac{13}{42}\)
\(=2\times\frac{13}{42}\)
\(=\frac{13}{21}\)
=4/9+2/5+5/9
=1+2/5
=7/5
`4/9+(2/5+5/9)`
`=(4/9+5/9)+2/5`
`=1+2/5=7/5`