tính giá trị biểu thức
2/3 + 3/4 : 6/7 + 1/8 x 4/3
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\(\frac{2}{3}+\frac{3}{4}:\frac{6}{7}+\frac{1}{8}\cdot\frac{4}{3}\)
\(=\frac{2}{3}+\frac{3}{4}\cdot\frac{7}{6}+\frac{1}{8}\cdot\frac{4}{3}\)
\(=\frac{2}{3}+\frac{21}{24}+\frac{4}{24}\)
\(=\frac{16}{24}+\frac{21}{24}+\frac{4}{24}\)
\(=\frac{37}{24}+\frac{4}{24}\)
\(=\frac{41}{24}\)
2/3 + 3/4 : 6/7 + 1/8 x 4/3 = 2/3 + 7/8 + 1/6
= 16/24 + 21/24 + 4/24
= 41/24
Bài 1:
a: x+1/2=5/6
nên x=5/6-1/2=1/3
b: x+1/4=3/4
nên x=3/4-1/4=2/4=1/2
c: x+3/10=1/2
nên x=1/2-3/10=5/10-3/10=1/5
d: x+1/4=3/8
nên x=3/8-1/4=3/8-2/8=1/8
\(a,\dfrac{3}{2}\times\dfrac{4}{5}\times\dfrac{2}{3}\times\dfrac{15}{4}\\ =\dfrac{3\times4\times2\times15}{2\times5\times3\times4}\\ =\dfrac{3\times4\times2\times5\times3}{2\times5\times3\times4}\\ =3\)
\(b,\dfrac{6}{7}\times\dfrac{5}{8}\times\dfrac{7}{3}\times\dfrac{7}{6}\times\dfrac{8}{5}\\ =\dfrac{6\times5\times7\times7\times8}{7\times8\times3\times6\times5}\\ =\dfrac{7}{3}\)
a) \(\dfrac{3}{2}\times\dfrac{4}{5}\times\dfrac{2}{3}\times\dfrac{15}{4}\)
\(=\left(\dfrac{3}{2}\times\dfrac{2}{3}\right)\times\left(\dfrac{4}{5}\times\dfrac{15}{4}\right)\)
\(=1\times3\)
\(=3\)
b) \(\dfrac{6}{7}\times\dfrac{5}{8}\times\dfrac{7}{3}\times\dfrac{7}{6}\times\dfrac{8}{5}\)
\(=\left(\dfrac{6}{7}\times\dfrac{7}{6}\right)\times\left(\dfrac{5}{8}\times\dfrac{8}{5}\right)\times\dfrac{7}{3}\)
\(=1\times1\times\dfrac{7}{3}\)
\(=\dfrac{7}{3}\)
Chúc bạn học tốt
1:
a: \(A=2+3\sqrt{x^2+1}>=3\cdot1+2=5\)
Dấu = xảy ra khi x=0
b: \(B=\sqrt{x+8}-7>=-7\)
Dấu = xảy ra khi x=-8
\(2\frac{4}{5}\)+3:\(\frac{3}{8}\)
=14/5+3*8/3
=14/5+8
=54/5
2>
x + 6/7=1/2*3
x+6/7=3/2
x=3/2-6/7
x=21/14-12/14
x=9/14
vậy x=9/14
\(\frac{2}{3}+\frac{3}{4}:\frac{6}{7}+\frac{1}{8}.\frac{4}{3}\)
=\(\frac{2}{3}+\frac{3}{4}.\frac{7}{6}+\frac{1}{8}.\frac{4}{3}\)
=\(\frac{2}{3}+\frac{7}{8}+\frac{1}{6}\)
=\(\left(\frac{2}{3}+\frac{1}{6}\right)+\frac{7}{8}\)
=\(\frac{5}{6}+\frac{7}{8}\)
=\(\frac{41}{24}\)