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a) x+ \(\frac{4}{5}\)= \(\frac{4}{5}\)+ ( \(\frac{3}{7}\)+ \(\frac{3}{5}\))
x + \(\frac{4}{5}\)= \(\frac{4}{5}\)+ \(\frac{36}{35}\)
=> x = \(\frac{36}{35}\)
Vậy : x = \(\frac{36}{35}\)
b) \(\frac{4}{9}\)+\(\frac{8}{9}\)+ \(\frac{12}{9}\)+ ... + \(\frac{56}{9}\)
= \(\frac{4+8+12+...+56}{9}\)
Ta có : 4+8+12 + ... +56
Số các số hạng của dẫy số trên là : ( 56 -4) + 4 +1 = 14 ( số hạng )
=> Tổng trên = ( 4+56) x 14 : 2 = 420
=> \(\frac{4}{9}\)+ \(\frac{8}{9}\)+ ... + \(\frac{56}{9}\)= \(\frac{420}{9}\)= \(\frac{140}{3}\)
a)x=3/7+3/5=3x(1/7+1/5)=36/35
b)=(4+8+...+56)/9=(56+4)x14/9=280/3
a) \(\frac{3}{5}+\frac{4}{7}+\frac{2}{5}+\frac{1}{7}+\frac{2}{7}\)
\(=\left(\frac{3}{5}+\frac{2}{5}\right)+\left(\frac{4}{7}+\frac{1}{7}+\frac{2}{7}\right)\)
\(=\frac{5}{5}+\frac{7}{7}=1+1=2\)
a) \(\frac{3}{5}+\frac{4}{7}+\frac{2}{5}+\frac{1}{7}+\frac{2}{7}\)
\(=\left(\frac{3}{5}+\frac{2}{5}\right)+\left(\frac{4}{7}+\frac{1}{7}+\frac{2}{7}\right)\)
= 1 + 1
= 2
b) \(\frac{4}{9}+\frac{8}{9}+\frac{12}{9}+\frac{16}{9}+...+\frac{48}{9}+\frac{52}{9}+\frac{56}{9}\)
\(=\frac{4+8+12+16+...+48+52+56}{9}\)
Xét 4 + 8 + 12 + 16 + ... + 48 + 52 + 56
Số các số hạng là:
(56 - 4) : 4 + 1 = 14 (số)
4 + 8 + 12 + 16 + ... + 48 + 52 + 56 = (56 + 4) x 14 : 2 = 420
\(\frac{4+8+12+16+...+48+52+56}{9}=\frac{420}{9}=\frac{140}{3}\)
\(1-\left(\frac{12}{5}+y=\frac{8}{9}\right):\frac{16}{9}=0\)
\(1-\left(\frac{12}{5}+y-\frac{8}{9}\right)=0\times\frac{16}{9}\)
\(1-\left(\frac{12}{5}+y-\frac{8}{9}\right)=0\)
\(\frac{12}{5}+y-\frac{8}{9}=1-0\)
\(\frac{12}{5}-y+\frac{8}{9}=1\)
\(\frac{12}{5}-y=1-\frac{8}{9}\)
\(\frac{12}{5}-y=\frac{1}{9}\)
\(y=\frac{12}{5}-\frac{1}{9}\)
\(y=\frac{108}{45}-\frac{5}{45}\)
\(y=\frac{103}{45}\)
\(\frac{8}{15}+\frac{16}{30}+\frac{3}{5}+\frac{9}{10}+2\frac{3}{5}\)
\(=\frac{8}{15}+\frac{16}{30}+\frac{3}{5}+\frac{9}{10}+\frac{13}{5}\)
\(=\frac{16+16+18+27+78}{30}\)
\(=\frac{155}{30}\)
\(=\frac{31}{6}\)
Hc tốt #
\(\frac{8}{15}\)+\(\frac{16}{30}\)+\(\frac{3}{5}\)+\(\frac{9}{10}\)+2\(\frac{3}{5}\)
=\(\frac{16}{30}\)+\(\frac{16}{30}\)+\(\frac{18}{30}\)+\(\frac{27}{30}\)+\(\frac{13}{5}\)
=\(\frac{16+16+18+27}{30}\)+\(\frac{78}{30}\)
=\(\frac{77}{30}\)+\(\frac{78}{30}\)= \(\frac{155}{30}\)
\(\frac{4}{13}+\frac{9}{5}=\frac{137}{65}\)
\(3-\frac{2}{16}=\frac{23}{8}\)
\(\frac{12}{31}\times\frac{1}{19}=\frac{12}{589}\)
\(\frac{3}{8}\div\frac{9}{12}=\frac{1}{2}\)
Bài 1:
4/3 x 9/10 = 2 x 2 x 3 / 3 x 3 x 2 x 5 = 6 / 5
9/16 x 8/27 = 9 x 2 x 8 / 8 x 3 x 9 = 2 / 3
40/7 x 14/5 = 8 x 5 x 7 / 2 x 7 x 5 = 4
Bài 2 : Tự làm
TL
4/16+1/4=1/4+14=2/4=1/2
b) 15/25+6/10=3/5+3/5=6/5
c)5/9+21/27=5/9+7/9=4/3
HT
\(a)\) \(\dfrac{4}{16} + \dfrac{1}{4} = \dfrac{1}{4}+ \dfrac{1}{4} = \dfrac{2}{4} = \dfrac{1}{2} \)
\(b) \dfrac{15}{25} + + \dfrac{6}{10} = \dfrac{3}{5} + \dfrac{3}{5} =\dfrac{6}{5} \)
\(c) \dfrac{5}{9} + \dfrac{21}{27} = \dfrac{5}{9} + \dfrac{7}{9} = \dfrac{12}{9} = \dfrac{4}{3}\)
16 5 - 9 5 = 7 5