208/384=a-2/24

=>a=208/384+2/24

=>a=208/384+32/384

=>a=208+32/384

=>a=240/384

=>a=5/8

\(\frac{208}{384}=a-\frac{2}{24}\)

\(a-\frac{2}{24}=\frac{208}{384}\)

\(a-\frac{1}{12}=\frac{13}{24}\)

\(a=\frac{13}{24}+\frac{1}{12}\)

\(a=\frac{5}{8}\)

\(\frac{208}{384}=a-\frac{2}{24}\)

\(a-\frac{2}{24}=\frac{208}{384}\)

\(a-\frac{1}{12}=\frac{13}{24}\)

\(a=\frac{13}{24}+\frac{1}{12}\)

\(a=\frac{5}{8}\)

\(\frac{208}{384}=a-\frac{2}{24}\)

\(\Rightarrow a=\frac{208}{384}+\frac{2}{24}\)

\(\Rightarrow a=\frac{5}{8}\)

a=5/8

#HT#

\(\frac{208}{384}=\frac{a-2}{24}\Leftrightarrow208\times24=\left(a-2\right)384 \)

<=> 384a - 768 = 4992
<=> 384a = 5760
<=> a=5760/384
a=15

384/208=24/13

hai ps bằng nhau khi a=14

Rút gọn 384/208=24/13

Suy ra a=24

a=24 => 384/208 = 24/13

384:(208:13)=24

tick nha!

24

A: 259

B: 125

A=259

B=125

Số A là:

   (384 - 9) : (2 +1) x 2 +9=259

Số B là:

    (259-9):2=125

                 Đáp số:A:259

                            B:125

\(\frac{a}{b}=\frac{2}{3}\Rightarrow\frac{a}{3}=\frac{b}{3}\)

\(\Rightarrow\frac{a^2}{4}=\frac{b^2}{9}=\frac{a^2+b^2}{4+9}=\frac{208}{13}=16\)

\(\Rightarrow a^2=4.16=64\Rightarrow a=8\) (vì \(a\in N\)*)

\(b^2=9.16=144\Rightarrow b=12\) (vì \(b\in N\)*)

Giải:
Ta có: \(\frac{a}{b}=\frac{2}{3}\Rightarrow\frac{a}{2}=\frac{b}{3}\)

Đặt \(\frac{a}{2}=\frac{b}{3}=k\Rightarrow a=2k,b=3k\)

Mà \(a^2+b^2=208\)
\(\Rightarrow\left(2k\right)^2+\left(3k\right)^2=208\)

\(\Rightarrow2^2.k^2+3^2.k^2=208\)

\(\Rightarrow k^2.\left(2^2+3^2\right)=208\)

\(\Rightarrow k^2.13=208\)

\(\Rightarrow k^2=16\)

\(\Rightarrow k=\pm4\)

Mà \(a,b\in\) N*

\(\Rightarrow k=4\)

\(\Rightarrow a=8,b=12\)

Vậy \(a=8,b=12\)