7 phần 24 + 5 phần 6
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a 25 phần 41
b 9
c 1 phần 12
d 12
e 14 phần 15
f 24 phần 7
(-1 phần 3 + 5 phần 6 ).11-7
-1 phần 24 - [ 1 phần 4 - ( 1 phần 2 - 7 phần 8 )]
`(-1/3+5/6).11-7`
`=(-2/6+5/6).11-7`
`=-3/6*11-7`
`=-11/2-7`
`=-11/2-14/2`
`=-25/2`
`-1/24-[1/4-(1/2-7/8)]`
`=-1/24-[1/4-(4/8-7/8)]`
`=-1/24-[1/4-(-3/8)]`
`=-1/24-(2/8+3/8)`
`=-1/24-5/8`
`=-1/24-15/24`
`=-16/24==-2/3`
a)\(\frac{9}{6}+\frac{7}{24}=\frac{36}{24}+\frac{7}{24}=\frac{36+7}{24}=\frac{43}{24}\)
b)\(\frac{-5}{7}+\frac{8}{14}=\frac{-10}{14}+\frac{8}{14}=\frac{-10+18}{14}=\frac{8}{14}\)\(=\)\(\frac{4}{7}\)
c)\(\frac{-7}{6}+\left(-2\right)=\frac{-7}{6}+\frac{-2}{1}=\frac{-7}{6}+\frac{-12}{6}=\frac{-7+\left(-12\right)}{6}=\frac{-19}{6}\)
d)\(\frac{-50}{300}+\frac{-40}{200}=\frac{-10000}{60000}+\frac{-12000}{60000}=\frac{-10000+\left(-12000\right)}{60000}=\frac{-22000}{60000}\)
\(\left(25\frac{4}{9}-14\frac{6}{13}\right)-\left(24\frac{7}{13}-15\frac{5}{9}\right)\)
\(=\left(24\frac{7}{13}-14\frac{6}{13}\right)-\left(25\frac{4}{9}-15\frac{5}{9}\right)\)
\(=\frac{131}{13}-\frac{89}{9}\)
\(=\frac{22}{117}\)
a, \(\frac{3}{8};-\frac{7}{11}\)
Quy đồng mẫu số: \(\frac{3}{8}=\frac{3\cdot11}{8\cdot11}=\frac{33}{88};-\frac{7}{11}=\frac{-7\cdot8}{11\cdot8}=-\frac{56}{88}\)
b, \(\frac{7}{15};-6\)
Quy đồng mẫu số: \(-6=\frac{-6\cdot15}{15}=-\frac{90}{15}\)
c, \(-\frac{3}{16};\frac{-5}{-24}\) ; \(-\frac{21}{56}\)
Quy đồng mẫu số:
\(-\frac{3}{16}=\frac{-3\cdot3}{16\cdot3}=-\frac{9}{48};\frac{-5}{-24}=\frac{5}{24}=\frac{5\cdot2}{24\cdot2}=\frac{10}{48}\)
\(-\frac{21}{56}=-\frac{3}{8}=\frac{-3\cdot6}{8\cdot6}=-\frac{18}{48}\)
a) \(\frac{x}{7}=\frac{6}{28}\Rightarrow x=\frac{6.7}{28}\Rightarrow x=\frac{3}{2}\)
Vậy \(x=\frac{3}{2}\)
b) \(\frac{-5}{y}=\frac{15}{24}\Rightarrow y=\frac{\left(-5\right).24}{15}\Rightarrow y=-8\)
Vậy \(y=-8\)
c) \(\frac{x}{-3}=\frac{4}{12}\Rightarrow x=\frac{\left(-3.\right).4}{12}\Rightarrow x=-1\)
Vậy \(x=-1\)
a) \(\frac{2}{3x}=\frac{5}{2}\Leftrightarrow3x=\frac{4}{5}\Rightarrow x=\frac{4}{15}\)
b) \(\frac{x-3}{4}=\frac{1}{2}\Rightarrow x-3=2\Rightarrow x=5\)
c) \(\frac{5}{24+x}=\frac{7}{12}\Rightarrow24+x=\frac{60}{7}\Rightarrow x=\frac{-108}{7}\)
d) \(-6x=18\Rightarrow x=-3\)
\(\frac{7}{24}\)- \(\frac{5}{6}\)
= - \(\frac{13}{24}\)
\(\frac{7}{24}-\frac{5}{6}=\frac{7}{24}-\frac{20}{24}=-\frac{13}{24}\)