Respuesta :

gmany

[tex] 4.\underbrace{12}_{2}=\dfrac{412}{1\underbrace{00}_2}=\dfrac{412}{100}=\dfrac{412:4}{100:4}=\dfrac{103}{25} [/tex]

Answer:

[tex]\frac{103}{25}[/tex]

Step-by-step explanation:

Here, the given expression,

[tex]4.12[/tex]

Since, We can write,

[tex]4.12=\frac{4.12}{1}[/tex]

[tex]=\frac{4.12\times 100}{1\times 100}[/tex]

[tex]=\frac{412}{100}[/tex]

[tex]\implies 4.12 = \frac{412}{100}[/tex]

We know that , 412 = 2 × 2 × 103,

100 = 2 × 2 × 5 × 5,

So, the H.C.F. of 412 and 100 = 2 × 2 = 4

[tex]4.12=\frac{412/4}{100/4}[/tex]

[tex]\implies 4.12=\frac{103}{25}[/tex]

Where, 103 and 25 are distinct integers,

Hence, the simplest fractional form of 4.12 is 103/25.