Rút gọn

a)\(\frac{4116-14}{10290-35}\)

b)\(\frac{2929-101}{21919+404}\)

                                                                                   GIẢI

a)

=\(\frac{4102}{10255}\)

=\(\frac{4102:2051}{10255:2051}\)

=\(\frac{2}{5}\)

b)

=\(\frac{2828}{22323}\)

=\(\frac{2828:7}{22323:7}\)

=\(\frac{404}{3189}\)

\(A=\frac{4116-14}{10290-35}=\frac{4102}{10255}=\frac{2}{5}\)

\(B=\frac{2929-101}{2\times1919+404}=\frac{2828}{4242}=\frac{2}{3}\)

\(A=\frac{4116-14}{10290-35}=\frac{14.294-14}{35.294-35}=\frac{14.\left(294-1\right)}{35\left(294-1\right)}=\frac{14}{35}=\frac{2}{5}\)

\(B=\frac{2929-101}{2.1919+404}=\frac{101\left(29-1\right)}{101\left(38+4\right)}=\frac{28}{42}=\frac{2}{3}\)

\(A=\frac{4116-14}{10290}\)

\(A=\frac{14\times\left(294-1\right)}{735\times14}\)

\(A=\frac{294-1}{735}\)

\(A=\frac{293}{735}\)

Vậy A có giá trị \(\frac{293}{735}\)

\(B=\frac{2929-101}{2\times1919+404}\)

\(B=\frac{101\times\left(29-1\right)}{35\times\left(38+4\right)}\)

\(B=\frac{28}{42}\)

\(B=\frac{2}{3}\)

Vậy B có giá trị \(\frac{2}{3}\)

\(A=\frac{4116-14}{10290}\)

\(A=\frac{14.\left(294-1\right)}{735.14}\)

\(A=\frac{294-1}{735}\)

\(A=\frac{293}{735}\)

\(B=\frac{2929-101}{2.1919+404}\)

\(B=\frac{2828}{2.1919+2.202}\)

\(B=\frac{2.1414}{2.\left(1919+202\right)}\)

\(B=\frac{1414}{2121}\)

\(B=\frac{101.14}{101.21}\)

\(B=\frac{14}{21}\)

\(B=\frac{2}{3}\)

A= 4116-14

    10290-35

= 294.14 - 14

  35.294 - 35

= 294 . 14

  294 . 35 ghạch 2 số 294

=14

  35

= 2

  5

 phàn B tương tự

A=4116-14/10290-35
=[14 x ( 294 -1 )]/[35 x (294-1)]
= 14/35

B =2929-101/2.1919+404
= [101 x (291-1)] / [101 x 38 + 101 x 4)]
= [ 101x (29 -1)] / [ 101 x (38+4)
= (29-1) / (38+4)
= 28/42 = 2/3

A=4116-14/10290-35=14.294-14.1/35.294-35.1=14.(291-1)/35.(294-1)=14/35=14:7/35:7=2/5

B=2929-101/2.1919+404=101.29-101.1/2.19.101+4.101=101.(29-1)/101.(2.19+4)=28/42=28:14/42:14=2/3

\(A=\frac{2}{5};B=\frac{2}{3}\)