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13/32 + 3/21 + 1/4 + 19/32 + 18/21 + 45/60
= ( 13/32 + 19/32 ) + ( 3/21 + 18/21 ) + ( 1/4+ 45/60 )
= 32/32 + 21/21 + (1/4+3/4)
= 1+1+4/4
=1+1+1
=3
Chúc bạn học tốt :333
\(x\) \(\times\) \(\dfrac{1}{2}\) = 1 - \(\dfrac{1}{3}\)
\(x\) \(\times\)\(\dfrac{1}{2}\) = \(\dfrac{2}{3}\)
\(x\) = \(\dfrac{2}{3}\) : \(\dfrac{1}{2}\)
\(x\) = \(\dfrac{4}{3}\)
\(a,\left(\dfrac{31}{35}-\dfrac{4}{7}\right)\times\dfrac{8}{7}:2\\ =\left(\dfrac{31}{35}-\dfrac{4\times5}{35}\right)\times\dfrac{8}{7}:2\\ =\dfrac{11}{35}\times\dfrac{8}{7}:2\\ =\dfrac{88}{245}:2\\ =\dfrac{44}{245}\\ b,\left(1-\dfrac{1}{2}\right)\times\left(1-\dfrac{1}{3}\right)\times\left(1-\dfrac{1}{4}\right)\times\left(1-\dfrac{1}{5}\right)\\ =\left(\dfrac{2-1}{2}\right)\times\left(\dfrac{3-1}{3}\right)\times\left(\dfrac{4-1}{4}\right)\times\left(\dfrac{5-1}{5}\right)\\ =\dfrac{1}{2}\times\dfrac{2}{3}\times\dfrac{3}{4}\times\dfrac{4}{5}\\ =\dfrac{1}{3}\times\dfrac{3}{4}\times\dfrac{4}{5}\\ =\dfrac{1}{4}\times\dfrac{4}{5}=\dfrac{1}{5}\)
a, ( \(\dfrac{31}{35}\) - \(\dfrac{4}{7}\)) \(\times\) \(\dfrac{8}{7}\): 2
= \(\left(\dfrac{31}{35}-\dfrac{20}{35}\right)\) \(\times\) \(\dfrac{8}{7}\) : 2
= \(\dfrac{11}{35}\) \(\times\) \(\dfrac{8}{7}\) \(\times\) \(\dfrac{1}{2}\)
= \(\dfrac{44}{35}\) \(\times\) \(\dfrac{4}{7}\)
= \(\dfrac{44}{245}\)
b, ( 1 - \(\dfrac{1}{2}\)) \(\times\) ( 1 - \(\dfrac{1}{3}\)) \(\times\) ( 1 - \(\dfrac{1}{4}\)) \(\times\) ( 1 - \(\dfrac{1}{5}\))
= \(\dfrac{1}{2}\) \(\times\) \(\dfrac{2}{3}\) \(\times\) \(\dfrac{3}{4}\) \(\times\) \(\dfrac{4}{5}\)
= \(\dfrac{1}{5}\) \(\times\) \(\dfrac{2\times3\times4}{2\times3\times4}\)
= \(\dfrac{1}{5}\)
\(\dfrac{2}{5}+\dfrac{1}{3}=\dfrac{6+5}{15}=\dfrac{11}{15}\)
\(\dfrac{16}{24}+\dfrac{1}{3}=\dfrac{2}{3}+\dfrac{1}{3}=1\)
\(\dfrac{7}{12}+\dfrac{4}{6}+\dfrac{3}{8}=\dfrac{14}{24}+\dfrac{16}{24}+\dfrac{9}{24}=\dfrac{39}{24}=\dfrac{13}{8}\)
\(1+\dfrac{1}{12}=\dfrac{12+1}{12}=\dfrac{13}{12}\)
2/3 x X = 1/4 X x 1/5 = 1/2 X : 7/8 = 2/3
X = 1/4 : 2/3 X = 1/2 : 1/5 X = 2/3 x 7/8
X = 3/8 X = 5/2 X = 7/12
chúc bạn học tôt
\(x-\frac{3}{5}=1\div3\)
\(x-\frac{3}{5}=\frac{1}{3}\)
\(x=\frac{1}{3}+\frac{3}{5}=\frac{14}{15}\)
Chắc x 1/6 = 5 : 4 là phép nhân
\(x\times\frac{1}{6}=5\div4\)
\(x\times\frac{1}{6}=\frac{5}{4}\)
\(x=\frac{5}{4}\div\frac{1}{6}\)
\(x=\frac{15}{2}\)
x-3/5=1/3
x=1/3+3/5
x=14/15
x.1/6=5/4
x=5/4:1/6
x=5/4x6
x=15/2
a.\(x+\dfrac{4}{7}=\dfrac{38}{21}\)
\(x=\dfrac{38}{21}-\dfrac{4}{7}\)
\(x=\dfrac{38}{21}-\dfrac{12}{21}=\dfrac{26}{21}\)
b.\(x-\dfrac{1}{3}=\dfrac{7}{45}:\dfrac{2}{15}\)
\(x-\dfrac{1}{3}=\dfrac{7}{6}\)
\(x=\dfrac{7}{6}+\dfrac{1}{3}\)
\(x=\dfrac{7}{6}+\dfrac{2}{6}=\dfrac{9}{6}\)
\(a,\dfrac{7}{12}+\dfrac{3}{4}\times\dfrac{2}{9}=\dfrac{7}{12}+\dfrac{1}{6}=\dfrac{7}{12}+\dfrac{2}{12}=\dfrac{9}{12}=\dfrac{3}{4}\)
\(b,\dfrac{8}{9}-\dfrac{4}{15}:\dfrac{2}{5}=\dfrac{8}{9}-\dfrac{4}{15}\times\dfrac{5}{2}=\dfrac{8}{9}-\dfrac{2}{3}=\dfrac{8}{9}-\dfrac{6}{9}=\dfrac{2}{9}\)
Dãy trên có: (x-1):1+1 = x (số hạng)
⇒\(\dfrac{\left(x+1\right)x}{2}\) = 210 ⇔x (x+1) = 420 = 20 nhân 21
Suy ra: x = 20