\(\frac{9.11+32.9}{23.15+12.23}=\frac{3^2.11+32.3^2}{23.3.5+12.23}\)

\(=\frac{3^2.\left(11+32\right)}{23.\left(15+12\right)}=\frac{3^2.43}{23.27}\)

\(=\frac{3^2.43}{23.3^3}=\frac{43}{23.3}=\frac{43}{69}\)

22,7611663

i'll cross my heart and hope to die

\(9.11+32.9=99+288=387\)

a) \(9.11+32.9=9.\left(11+32\right)=9.43=387\)

b) \(23.25+12.23=23.\left(25+12\right)=23.37=851\)

c)  \(12.13+24.26+36.39=12.13+12.2.13.2+12.3.13.3\)

                                                          \(=12.13+2^2\left(12.13\right)+3^2\left(12.13\right)\)

                                                            \(=12.13.\left(1+2^2+3^2\right)=12.13.14=2184\)

d) Câu này tương tự câu trên nha.

biểu thức đâu

a: \(A=49+\dfrac{8}{23}-14-\dfrac{8}{23}-5-\dfrac{7}{32}=30-\dfrac{7}{32}=\dfrac{953}{32}\)

b:

Sửa đề: \(B=71\dfrac{38}{45}-\left(43\dfrac{8}{45}-1\dfrac{17}{51}\right)\)

 \(B=71+\dfrac{38}{45}-43-\dfrac{8}{45}+1+\dfrac{17}{51}\)

\(=71-43+1+1\)

=28+2=30

khó quá

a: \(A=49+\dfrac{8}{23}-14-\dfrac{8}{23}-5-\dfrac{7}{32}=30-\dfrac{7}{32}=\dfrac{953}{32}\)

b:

Sửa đề: \(B=71\dfrac{38}{45}-\left(43\dfrac{8}{45}-1\dfrac{17}{51}\right)\)

 \(B=71+\dfrac{38}{45}-43-\dfrac{8}{45}+1+\dfrac{17}{51}\)

\(=71-43+1+1\)

=28+2=30

\(A=\dfrac{5-\dfrac{5}{29}+\dfrac{5}{41}-\dfrac{5}{2941}}{3-\dfrac{3}{19}+\dfrac{3}{43}-\dfrac{3}{1943}}:\dfrac{4-\dfrac{4}{29}+\dfrac{4}{41}-\dfrac{4}{2941}}{2-\dfrac{2}{19}+\dfrac{2}{43}-\dfrac{2}{1943}}\)

\(=\dfrac{5-\dfrac{5}{29}+\dfrac{5}{41}-\dfrac{5}{2941}}{3-\dfrac{3}{19}+\dfrac{3}{43}-\dfrac{3}{1943}}.\dfrac{2-\dfrac{2}{19}+\dfrac{2}{43}-\dfrac{2}{1943}}{4-\dfrac{4}{29}+\dfrac{4}{41}-\dfrac{4}{2941}}\)

\(=\dfrac{5\left(1-\dfrac{1}{29}+\dfrac{1}{41}-\dfrac{1}{2941}\right)}{3\left(1-\dfrac{1}{19}+\dfrac{1}{43}-\dfrac{1}{1943}\right)}.\dfrac{2\left(1-\dfrac{1}{19}+\dfrac{1}{43}-\dfrac{1}{1943}\right)}{4\left(1-\dfrac{1}{29}+\dfrac{1}{41}-\dfrac{1}{2941}\right)}\)

\(=\dfrac{5}{3}.\dfrac{2}{4}=\dfrac{10}{12}=\dfrac{5}{6}\)

Vì đề bài không yêu cầu tính nên bn có thể không tính ra như mk cux đc!

Theo đề, ta có hệ:

b-a=21 và a/b=16/23

=>a-b=-21 và 23a-16b=0

=>a=48 và b=69

Phân số cần tìm là 48/69