\(\dfrac{5932+6001x5931}{5932x600-69}=\dfrac{5932+6001x\left(5932-1\right)}{5932x6001-69}=\dfrac{5932+6001x5932-6001}{5932x6001-69}=\dfrac{5932x6001-\left(6001-5932\right)}{5932x6001-69}=\dfrac{5932x6001-69}{5932x6001-69}=1\)

\(=\dfrac{5931+6001\cdot5931+1}{5931\cdot6001+6001-69}\)

\(=\dfrac{5931\cdot6001+5932}{5931\cdot6001+5932}=1\)

\(\frac{5932+6001\times5931}{5932\times6001-69}=\frac{5932+6001\times5931}{5931\times6001+6001-69}=\frac{5932+6001\times5931}{5931\times6001+5932}=1\)

Bài 2:

a) \(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right)...\left(1-\frac{1}{2018}\right)\))

\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}...\frac{2017}{2018}=\frac{1}{2018}\)

Bài 1 thì mk ko bk, xl bn nha!
 

Viết lại:

\(\frac{5931.6001+5932}{5932.6001-69}=\frac{5931.6001+5932}{5931.6001+6001-69}=\frac{5931.6001+5932}{5931.6001+5932}=1\)

\(A=\frac{254.399-145}{254+399.253}\)

\(=\frac{\left(253+1\right).399-145}{254+399.253}\)

\(=\frac{253.399+399-145}{254+399.253}\)

\(=\frac{253.399+254}{254+399.253}=1\)

mk chỉnh đề

\(B=\frac{5932+6001.5931}{5932.6001-69}\)

\(=\frac{5932+6001.5931}{\left(5931+1\right).6001-69}\)

\(=\frac{5932+6001.5931}{5931.6001+5932}=1\)

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

B = 5932 + 6001 × 5931 / 5932 × 6001 - 69

B = 5932 + 6001 × 5931 / (5931 + 1) × 6001 - 69

B = 5932 + 6001 × 5931 / 5931 × 6001 + (6001 - 69)

B = 5932 + 6001 × 5931 / 5931 × 6001 + 5932

B = 1

B=1