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a, \(\dfrac{254\times399-145}{254+399\times253}\)
= \(\dfrac{\left(253+1\right)\times399-`45}{254+399\times253}\)
= \(\dfrac{253\times399+399-145}{253\times399+254}\)
= \(\dfrac{253\times399+254}{253\times399+254}\)
= 1
b, \(\dfrac{5932+6001\times5931}{5932\times6001-69}\)
= \(\dfrac{5932+6001\times5931}{\left(5931+1\right)\times6001-69}\)
= \(\dfrac{5932+6001\times5931}{5931\times6001+6001-69}\)
= \(\dfrac{5932+6001\times5931}{5931\times6001+5932}\)
= 1
a )\(\frac{13}{15}+\frac{4}{7}-\frac{101}{105}\)
\(=\frac{91}{105}+\frac{60}{105}-\frac{101}{105}\)
\(=\frac{50}{105}\)
\(=\frac{10}{21}\)
b ) \(\frac{2}{5}+\frac{3}{5}\cdot\frac{4}{5}\)
\(=\frac{2}{5}+\frac{12}{25}\)
\(=\frac{10}{25}+\frac{12}{25}\)
\(=\frac{22}{25}\)
c )\(\frac{254\cdot399-145}{254+399\cdot253}\)
\(=\frac{253\cdot399+399-145}{254+399\cdot253}\)
\(=\frac{253\cdot399+254}{254+399\cdot253}\)
\(=1\)
d )\(\frac{5932+6001\cdot5931}{5932\cdot6001-69}\)
\(=\frac{5932+6001\cdot5931}{5931\cdot6001+6001-69}\)
\(=\frac{5932+6001\cdot5931}{5931\cdot6001+5932}\)
\(=1\)
e )\(\frac{1}{5}\div\frac{2}{7}\)
\(=\frac{1}{5}\cdot\frac{7}{2}\)
\(=\frac{7}{10}\)
hok tốt nha
A)\(\frac{254\cdot399-145}{254+399\cdot253}\)
\(=\frac{\left(253+1\right)\cdot399-145}{254+399\cdot253}\)
\(=\frac{253\cdot399+1\cdot399-145}{254+399\cdot253}\)
\(=\frac{253\cdot399+399-145}{254+399\cdot253}\)
\(=\frac{253\cdot399+254}{254+399\cdot253}\Rightarrow=1\)
B) X x X - 1/6 = 5/18
x2 = 5/18 + 1/6
x2 = 8/18 = 4/9
x= \(\sqrt{\frac{4}{9}}\) \(=\frac{2}{3}\)
a)(689 + 875 ) +125
=1564 + 125
=2944
b)2/7 +4/9 +5/7 + 5/9
=46/63 +80/63
=2
c)581 +878 +419
=(581 +419) +878
=1000+878
=1878
d)254 x 399 -145 /254 + 399 x 253
=399 x (254 +253 ) -145 /254
=399 x 507 -145 /254
=202292,4291
mik nha
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Tử = 254x399 - 399 + 399 - 145 = 253x399 + 254
Mẫu = 253x399 + 254
a . 254 x 399 - 145 / 254 + 399 x 253 = ( 253 + 1 ) x 399 - 145 / 254 + 399 x 253
= 253 x 399 + 1 x 399 - 145 / 254 + 399 x 253
=253 x 399 + 399 - 145 / 254 + 399 x 253
= 253 x 399 + ( 399 - 145) / 254 + 399 x 253
= 253 x 399 + 254 / 254 + 399 x 253
= 1
b. 1997 x 1996 - 995 / 1995 x 1997 + 1002 = 1997 x ( 1995 + 1 ) - 995 / 1995 x 1997 + 1002
= 1997 x 1995 + 1997 - 1995 / 1995 x 1997 + 1002
= 1997 x 1995 + ( 1997 - 995 ) / 1995 x1997 + 1002
= 1997 x1995 + 1002 / 1995 x 1997 + 1002
= 1
c. 5932 + 6001 x 5031 / 5932 x 6001 - 69 = 5932 + 6001 x 5031 / ( 5031 + 1 ) x 6001 - 69
= 5932 + 6001 x 5031 / 5031 x 6001 + 6001 - 69
= 5932 + 6001 x 5031 / 5031 x 6001 + ( 6001 - 69 )
= 5932 + 6001 x 5031 / 5031 x 6001 + 5932
= 1
d. 1995 x 1997 - 1 / 1996 x 1995 + 1994 = 1995 x ( 1996 + 1 ) - 1 / 1996 x 1995 + 1994
= 1995 x1996 + 1995 - 1 / 1996 x 1995 + 1994
= 1995 x 1996 + ( 1995 - 1 ) / 1996 x 1995 + 1994
= 1995 x 1996 + 1994 / 1996 x 1995 + 1994
= 1