Tính giá trị biểu thức:
\(N=3.\dfrac{1}{117}.\dfrac{1}{119}-\dfrac{4}{117}.5\dfrac{118}{119}-\dfrac{5}{117.119}+\dfrac{8}{39}\)
Tính giá trị A= \(3\dfrac{1}{117}.\dfrac{1}{119}-\dfrac{4}{117}.5\dfrac{118}{119}-\dfrac{5}{117.119}+\dfrac{8}{39}\)
Ta có: \(A=3\dfrac{1}{117}\cdot\dfrac{1}{119}-\dfrac{4}{117}\cdot5\dfrac{118}{119}-\dfrac{5}{117\cdot119}+\dfrac{8}{39}\)
\(=\dfrac{352}{117}\cdot\dfrac{1}{119}-\dfrac{4}{117}\cdot\dfrac{713}{119}-\dfrac{5}{117\cdot119}+\dfrac{8}{39}\)
\(=\dfrac{352-2852-5}{117\cdot119}+\dfrac{8}{39}\)
\(=\dfrac{-835}{4641}+\dfrac{8}{39}\)
\(=\dfrac{3}{119}\)
Tính giá trị biểu thức
\(A=3\dfrac{1}{117}.\dfrac{1}{119}-\dfrac{4}{117}.5\dfrac{118}{119}-\dfrac{5}{117.119}+\dfrac{8}{39}\)
help me ~~
Đặt \(\dfrac{1}{117}=x;\dfrac{1}{119}=y\)
\(\Rightarrow\dfrac{1}{39}=3x\)
Ta có: \(A=\left(3+x\right)y-4x\left(5+1-y\right)-5xy+8.3x\)
\(=3y+xy-20x-4x+4xy-5xy+24x\)
\(=3y\)
Thay \(y=\dfrac{1}{119}\rightarrow A:\)
\(A=3.\dfrac{1}{119}=\dfrac{3}{119}\)
Vậy \(A=\dfrac{3}{119}.\)
Đặt \(a=\dfrac{1}{117};b=\dfrac{1}{119}\) thay vào A được:
A=\(\left(3+a\right)b-4a\left(6-b\right)-5ab+\dfrac{8}{39}\)
=\(3b+ab-24a+4ab-5ab+\dfrac{8}{39}\)
=\(3b-24a+\dfrac{8}{39}\) (1)
Thay \(a=\dfrac{1}{117};b=\dfrac{1}{119}\) vào (1) ta đuợc:
A=\(\dfrac{3}{119}-\dfrac{24}{117}+\dfrac{8}{39}=\dfrac{3}{119}-0=\dfrac{3}{119}\)
Chúc các bn học tốt
Tính \(B=3\dfrac{1}{117}.\dfrac{1}{119}-\dfrac{4}{117}.5\dfrac{118}{119}-\dfrac{5}{117.119}+\dfrac{8}{39}\)
Đặt 117=a; 119=b
Theo đề, ta có:
\(B=\left(3+\dfrac{1}{a}\right)\cdot\dfrac{1}{b}-\dfrac{4}{a}\cdot\left(5+\dfrac{b-1}{b}\right)-\dfrac{5}{a\cdot b}+8:\dfrac{a}{3}\)
\(=\dfrac{3a+1}{a}\cdot\dfrac{1}{b}-\dfrac{4}{a}\cdot\dfrac{5b+b-1}{b}-\dfrac{5}{ab}+\dfrac{24}{a}\)
\(=\dfrac{3a+1-24b+4-5}{ab}+\dfrac{24}{a}=\dfrac{3a-24b+24b}{ab}=\dfrac{3a}{ab}=\dfrac{3}{b}=\dfrac{3}{119}\)
Tính \(3\dfrac{1}{117}.\dfrac{1}{119}-\dfrac{4}{117}.5\dfrac{118}{119}-\dfrac{5}{117.119}+\dfrac{8}{39}\)
Nhanh nha
Đặt \(a=\dfrac{1}{117};b=\dfrac{1}{119}\)
Ta có:\(3\dfrac{1}{117}.\dfrac{1}{119}-\dfrac{4}{117}.5\dfrac{118}{119}-\dfrac{5}{117.119}+\dfrac{8}{39}\)
=\(\left(3+a\right)b-4a\left(6-b\right)-5ab+24a\)
\(\text{ }\)=3b+ab-24a+4ab-5ab+24a
\(=3b=3.\dfrac{1}{119}=\dfrac{3}{119}\)
Tính giá trị các biểu thức sau theo cách hợp lý
a) A= 3\(\dfrac{1}{117}\). 4 \(\dfrac{1}{119}\) - 1 \(\dfrac{116}{117}\) . 5 \(\dfrac{118}{119}\) - \(\dfrac{5}{119}\)
b) B= 2\(\dfrac{1}{315}\) . \(\dfrac{1}{651}\) - \(\dfrac{1}{105}\) .3\(\dfrac{650}{651}\) - \(\dfrac{4}{315.651}\) + \(\dfrac{4}{105}\)
3. Tính giá trị của biểu thức \(A=3\dfrac{1}{117}.4\dfrac{1}{119}-1\dfrac{116}{117}.5\dfrac{118}{119}-\dfrac{5}{119}\)
Đặt : \(\dfrac{1}{117}\) = x ; \(\dfrac{1}{119}\) = y .
A = ( 3 + x)( 4 + y) - (1 + 1 - x)(5 + 1 - y) - 5y
<=> A = 12 + 3y + 4x + xy - ( 2 - x)( 6 - y) - 5y
<=> A = 12 + 3y + 4x + xy - 12 + 2y + 6x - xy - 5y
<=> A = 10x
<=> A = \(\dfrac{10}{117}\).
Vậy A = \(\dfrac{10}{117}\)
Tính giá trị biểu thức sau :
a) A = \(3\dfrac{1}{117}.4\dfrac{1}{119}-1\dfrac{116}{117}.5\dfrac{118}{119}-\dfrac{5}{119}\)
b) B = \(4\dfrac{1}{115}.3\dfrac{1}{225}-5\dfrac{114}{115}.1\dfrac{224}{225}-\dfrac{10}{225}\)
Tính giá trị biểu thức:
\(N=3.\frac{1}{117}.\frac{1}{119}-\frac{4}{117}.5\frac{118}{119}-\frac{5}{117.119}+\frac{8}{39}\)
Tính giá trị biểu thức
D=3x^2(5x^2-4)+x^2(8-15x^2)-8x với |x|=3
F=(3+1/117).1/119-4/117. (5+118/119) - 5/(117.119) + 8/39