6x7:7=
E=7/3x4 - 9/4x5 + 11/5x6 - 13/6x7 + 15/7x8 - 17/8x9 + 19/9x10
tính A=7/3x4 - 9/4x5 + 11/5x6 - 13/6x7 + 15/7x8 - 17/8x9 + 19/9x10
A= \(\frac{221}{210}\)
k tui nha, hậu tạ
\(\frac{5-4}{4x5}\)+\(\frac{6-5}{5x6}\)+\(\frac{7-6}{6x7}\)
5/6x7
tính nhanh
1/2x3 + 1/3x4 + 1/4x5 + 1/5x6 + 1/6x7
1/2x3 + 1/3x4 + 1/4x5 + 1/5x6 + 1/6x7 + 1/20x21
\(=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{6}-\dfrac{1}{7}=\dfrac{1}{2}-\dfrac{1}{7}=\dfrac{5}{14}\)
\(=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{20}-\dfrac{1}{21}=\dfrac{21-2}{42}=\dfrac{19}{42}\)
Lời giải:
Gọi biểu thức số 1 là A và số 2 là B
\(A=\frac{3-2}{2\times 3}+\frac{4-3}{3\times 4}+\frac{5-4}{4\times 5}+\frac{6-5}{5\times 6}+\frac{7-6}{6\times 7}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)
\(=\frac{1}{2}-\frac{1}{7}=\frac{5}{14}\)
B tương tự A:
\(B=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+....+\frac{1}{20}-\frac{1}{21}\)
\(=\frac{1}{2}-\frac{1}{21}=\frac{19}{42}\)
9X6+6:6-6X7=
9x6+6:6-6x7
= 54 + 1 - 42
= 55 - 42
= 13
3/5x6+3/6x7+...+3/87x88
A = \(\dfrac{3}{5\times6}\) + \(\dfrac{3}{6\times7}\)+...+ \(\dfrac{3}{87\times88}\)
A = 3\(\times\)( \(\dfrac{1}{5\times6}\) + \(\dfrac{1}{6\times7}\)+...+ \(\dfrac{1}{87\times88}\))
A = 3 \(\times\)( \(\dfrac{1}{5}\) - \(\dfrac{1}{6}\) + \(\dfrac{1}{6}\) - \(\dfrac{1}{7}\) +...+ \(\dfrac{1}{87}\) - \(\dfrac{1}{88}\))
A = 3 \(\times\)( \(\dfrac{1}{5}\) - \(\dfrac{1}{88}\))
A = 3 \(\times\) \(\dfrac{83}{440}\)
A = \(\dfrac{249}{440}\)
Tính nhanh
A = \(\frac{3}{1x2}+\frac{7}{3x4}+\frac{11}{5x6}+\frac{15}{7x8}\) và B = \(\frac{5}{2x3}+\frac{9}{4x5}+\frac{13}{6x7}\)
Tính: 5x6+6x7+7x8+8x9+...+97x98