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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, 35x 34+35x 38 + 65x 75+ 65x 45=10437
b, 36x 28 + 36x 82 + 64x 69 + 64 x41=11000
c, 254x 399 - 145/ 254+ 399 x 253=202292,4291
254x399-145
= 101346 - 145
= 101201
254 x 399 x 253
= 101346 x 253
= 25640538
\(\frac{254\times399-145}{254\times399\times253}=\)
Vế trên :
254 x 399 - 145
= 101346 - 145
= 101201
Vế dưới :
254 x 399 x 253
= 101346 x 253
= 25640538
Ta có :
\(\frac{254\times399-145}{254\times399\times253}=\)\(\frac{101201}{25640538}\)
\(\frac{254.399-145}{254+399.253}=\frac{253.399+399-145}{253.399+254}=\frac{253.399+254}{253.399+254}=1\)
\(A=\frac{254.399-145}{254+399.253}\)
\(=\frac{\left(253+1\right).399-145}{254+399.253}\)
\(=\frac{253.399+399-145}{254+399.253}\)
\(=\frac{253.399+254}{254+399.253}=1\)
đặt biểu thức trên là A
xét A- 1 = \(\frac{254.399-253.399-145-254}{254+399.253}=\frac{399-399}{254+399.253}=0;\) => A= 1
\(\frac{254.399-145}{254+399.253}\)
\(=\)\(\frac{\left(253+1\right).399-145}{254+399.253}\)
\(=\)\(\frac{253.399+399-145}{254+399.253}\)
\(=\)\(\frac{253.399+254}{254+399.253}\)
\(=\)\(1\)
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= \(\sqrt{\frac{4}{9}}\) \(=\frac{2}{3}\)
\(\frac{254.399-145}{254+399.253}\)
\(=\frac{253.399+399-145}{254+399.253}\)
\(=\frac{253.399+253}{254+399.253}\)
\(=1\)
\(\Rightarrow\)
\(\text{Trả lời : }\)
\(\frac{254\cdot399-145}{254+399\cdot253}=\frac{399-145}{254}=\frac{254}{254}=1\)
\(\text{Chúc bạn học tốt ! }\)