Rút gọn phân số:\(\frac{1989.1990+3978}{1992.1991-3984}\)

\(=\frac{1989.1990+1989.2}{1992.1991-1992.2}=\frac{1989.\left(1990+2\right)}{1992.\left(1991-2\right)}=\frac{1989.1992}{1992.1989}=1\)

học giỏi nha

\(\frac{1989\cdot1990+3978}{1992\cdot1991-3984}\)

\(=\frac{1989\cdot1990+1989\cdot2}{1992\cdot1991-1992\cdot2}\)

\(=\frac{1989\cdot\left(1990+2\right)}{1992\cdot\left(1991-2\right)}\)

\(=\frac{1989\cdot1992}{1992\cdot1989}=1\)

cảm ơn

\(a,\frac{121.75.130.169}{39.60.11.198}=\frac{11^2.5^2.3.13.2.5.13^2}{13.3.5.2^2.3.11.3^2.2.11}\)\(=\frac{11^2.5^3.3.13^3.2}{13.3^4.5.2^3.11^2}=\frac{5^2.13^2}{3^3.2^2}=\frac{4425}{108}\)

\(b,\frac{1989.1990+3978}{1992.1991-3984}=\frac{1989.1990+1989.2}{1992.1991-1992.2}\)\(=\frac{1989\left(1990+2\right)}{1992\left(1991-2\right)}=\frac{1989.1992}{1992.1989}=\frac{1}{1}=1\)

\(c.\frac{135.350+135.550}{900.100+35.900}=\frac{135\left(350+550\right)}{900\left(100+35\right)}=\)\(\frac{135.900}{900.135}=\frac{1}{1}=1\)

\(d.\frac{243.650-243.350}{600.200+600.43}=\frac{243\left(650-350\right)}{600\left(200+43\right)}\)\(=\frac{243.300}{600.243}=\frac{300}{600}=\frac{1}{2}\)

1989.1990+3978 / 1992.1991-3984 = 1989.1990+1989x2 / 1992.1991-1992x2
 = 1989.(1990=2) / 1992.(1991-2) = 1989.1992 / 1992.1989 = 1

176/187=?

1989.1990+3978/1992.1991-3984

=1989.1990+1989.2/1992.1991-1992.2

=1989.(1990+2)/1992.(1991-2)

=1989.1992/1992.1989

Câu 1: \(\frac{121.75.130.169}{39.60.11.198}\)=\(\frac{11x11x15x5x130x13x13}{13x13x15x4x11x11x18}\)= \(\frac{5x130}{4x18}\)= \(\frac{650}{72}\)= \(\frac{325}{36}\)

Câu 2: \(\frac{1998.1990+3978}{1992.1991-3984}\)= \(\frac{3976020}{3962088}\)= \(\frac{994005}{990522}\)

câu 2 bạn giải kĩ hơn đi.khó hiểu

Hình như bạn At the speed of light làm sai rồi . 39: 13 = 3 mà chứ đâu phải bằng 13. Bạn chưa học chia bao giờ à !!¤♡☆😮

Ta có :

1989.1990+3978=1989.1990+1989.2=1989.1992

1992.1991-3984=1992.1991-1992.2=1992.1989

Gộp cả 2 cái ta có :

1989 . 1992 / 1992 . 1989 = 1

\(\dfrac{1989.1990+3978}{1992.1991+3984}\)
= \(\dfrac{1989.1990+2.1989}{1992.1991+2.1992}\)
=\(\dfrac{1989.\left(1990+2\right)}{1992.\left(1991+2\right)}\)
=\(\dfrac{1989.1992}{1992.1992}\)
=\(\dfrac{1989}{1993}\).

Tham khảo link này nha

https://olm.vn/hoi-dap/detail/99130422647.html

Ta có :

1989.1990+3978=1989.1990+1989.2=1989.1992

1992.1991-3984=1992.1991-1992.2=1992.1989

Gộp cả 2 cái ta có :

1989 . 1992 / 1992 . 1989 = 1

Nguồn học247

học tốt