Rút gon roi tinh: 99/72 tru15/40 tru 1212/1616
99/72 - 15/40 -1212/1616
\(=\dfrac{11}{8}-\dfrac{3}{8}-\dfrac{3}{4}=1-\dfrac{3}{4}=\dfrac{1}{4}\)
rút gọn rồi tính: 99/72-15/40-1212/1616
\(\frac{99}{72}-\frac{15}{40}-\frac{1212}{1616}\)= \(\frac{11}{8}-\frac{3}{8}-\frac{6}{8}\)
=\(\frac{11-3-6}{8}\)
=\(\frac{2}{8}=\frac{1}{4}\)
Ai thấy đúng thì k nha
Yêu các bạn nhiều
+)\(\frac{99}{72}=\frac{11}{8}\)
+)\(\frac{15}{40}=\frac{3}{8}\)
+)\(\frac{1212}{1616}=\frac{12}{16}\)
\(\Rightarrow\frac{99}{72}-\frac{15}{40}-\frac{1212}{1616}=\frac{11}{8}-\frac{3}{8}-\frac{12}{16}=\frac{1}{4}\)
GIẢI HỘ MIK BÀI NÉ ( MIK XIN ĐÓ ) Đ VÀ RÕ RÀNG RA NHÉ
BÀI 1 : RÚT GỌN RỒI TÍNH :
a) 78/42 - 4/7 ; 100/110 - 56/88 ; 75/35 - 11/7 + 21/49 ; 99/72 - 15/40 - 1212 / 1616
a: 78/42-4/7=13/7-4/7=9/7
100/110-56/88=10/11-7/11=3/11
75/35-11/7+21/49=15/7-11/7+3/7=7/7=1
99/72-15/40-1212/1616=11/8-3/8-3/4=1-3/4=1/4
16 phan 24 tru 1 phan 3 rut gon roi tinh
rut gon roi tinh:
28/35*15/72*1 va 7/49.
miru
Rút gọn rồi tính:
\(\frac{28}{35}.\frac{15}{72}.1\frac{7}{49}\)
\(=\frac{4}{5}.\frac{5}{24}.\frac{56}{49}\)
\(=\frac{4.5.8}{5.24.7}=\frac{4}{21}\)
\(\frac{28}{35}.\frac{15}{72}.1\frac{7}{49}\)
\(=\frac{4}{5}.\frac{5}{24}.\frac{7}{49}\)
\(=\frac{4}{21}\)
k mk nha, cảm ơn những người đã k
Bài 1: A=2/3*7 + 2/7*11 + 2/11*15+ ... +2/99*103 Bài 2: A=7/2 + 7/6 + 7/12 + 7/20 + 7/30 + 7/42 + 7/56 + 7/72 + 7/90 Bài 3: A=505/10*1212 + 505/12*1414 + 505/14*1616 +...+ 505/96*9898 Bài 4: A=2/1*3 - 4/3*5 - 6/5*7 - ... - 20/19*21 Bài 5: A=1 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42 + 15/56 - 17/72 + 19/90 :>
\(1,A=\dfrac{2}{3\cdot7}+\dfrac{2}{7\cdot11}+\dfrac{2}{11\cdot15}+...+\dfrac{2}{99\cdot103}\\ 2A=\dfrac{4}{3\cdot7}+\dfrac{4}{7\cdot11}+\dfrac{4}{11\cdot15}+...+\dfrac{4}{99\cdot103}\\ 2A=\dfrac{1}{3}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{11}+...+\dfrac{1}{99}-\dfrac{1}{103}\\ 2A=\dfrac{1}{3}-\dfrac{1}{103}=\dfrac{100}{309}\\ A=\dfrac{100}{309}\cdot\dfrac{1}{2}=\dfrac{50}{309}\)
\(2,A=\dfrac{7}{2}+\dfrac{7}{6}+\dfrac{7}{12}+\dfrac{7}{20}+\dfrac{7}{30}+\dfrac{7}{42}+\dfrac{7}{56}+\dfrac{7}{72}+\dfrac{7}{90}\\ A=7\left(\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+...+\dfrac{1}{9\cdot10}\right)\\ A=7\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{9}-\dfrac{1}{10}\right)\\ A=7\left(1-\dfrac{1}{10}\right)=7\cdot\dfrac{9}{10}=\dfrac{63}{10}\)
Bài 1:
Ta có: \(A=\dfrac{2}{3\cdot7}+\dfrac{2}{7\cdot11}+\dfrac{2}{11\cdot15}+...+\dfrac{2}{99\cdot103}\)
\(=\dfrac{1}{2}\left(\dfrac{4}{3\cdot7}+\dfrac{4}{7\cdot11}+\dfrac{4}{11\cdot15}+...+\dfrac{4}{99\cdot103}\right)\)
\(=\dfrac{1}{2}\left(\dfrac{1}{3}-\dfrac{1}{103}\right)\)
\(=\dfrac{1}{2}\cdot\dfrac{100}{309}=\dfrac{50}{309}\)
Bài 2:
Ta có: \(A=\dfrac{7}{2}+\dfrac{7}{6}+\dfrac{7}{12}+\dfrac{7}{20}+\dfrac{7}{30}+\dfrac{7}{42}+\dfrac{7}{56}+\dfrac{7}{72}+\dfrac{7}{90}\)
\(=7\left(\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+\dfrac{1}{4\cdot5}+\dfrac{1}{5\cdot6}+\dfrac{1}{6\cdot7}+\dfrac{1}{7\cdot8}+\dfrac{1}{8\cdot9}+\dfrac{1}{9\cdot10}\right)\)
\(=7\left(1-\dfrac{1}{10}\right)\)
\(=\dfrac{63}{10}\)
11+22+33+44+55+66+77+88+99+1010+1111+1212+1313+1414+1515+1616+.........+20162016=?
rut gon roi tinh 17/51 x 45/30
24/15 x 56/72 x10 14
32/48 x 35/21 x 63/14 x 9/ 30
Câu 1: \(\frac{17}{51}\)x \(\frac{45}{30}\)= \(\frac{1}{3}\)x \(\frac{3}{2}\)
= \(\frac{1}{2}\).
Câu 2: \(\frac{24}{15}\)x \(\frac{56}{72}\)x \(\frac{10}{14}\)= \(\frac{8}{5}\)x \(\frac{7}{9}\)x \(\frac{5}{7}\)
= \(\frac{56}{45}\)x \(\frac{5}{7}\)
= \(\frac{8}{9}\)
Câu 3: \(\frac{32}{48}\times\frac{35}{21}\times\frac{63}{14}\times\frac{9}{30}=\frac{2}{3}\times\frac{5}{3}\times\frac{9}{2}\times\frac{3}{10}=\frac{3}{2}\)
k nha
a)17/51x45/40=1/3x3/2=3/6=1/2
b)24/15x56/72x10/14=8/5x7/9x5/7=8/9
c)32/48x35/21x63/14x9/30=2/3x5/3x9/2x3/10=3/2
x x 134 -x x24 -x x 10 = x x ( 134 - 24 - 10)
x = x x 100
x = 1300 : 100
x = 13
Rút gon A =2^100-2^99+2^98-2^97+...+2^2-2
\(A=2^{100}-2^{99}+2^{98}-2^{97}+...+2^2-2\)
\(\Rightarrow2A=2^{101}-2^{100}+2^{99}-2^{98}+....+2^3-2^2\)
\(\Rightarrow2A+A=\left(2^{101}-2^{100}+2^{99}-2^{98}+...+2^3-2^2\right)+\left(2^{100}-2^{99}+...+2^2-2\right)\)
\(\Rightarrow3A=2^{101}-2\)
\(\Rightarrow A=\frac{2^{101}-2}{3}\)
Vậy ......
\(2A=2^{101}-2^{100}+2^{99}-...+2^3-2^2\)
\(\Rightarrow2A+A=2^{101}-2\)
\(\Rightarrow3A=2^{101}-2\)
\(\Rightarrow A=\frac{2^{101}-2}{3}\)