Question

What is 4.12 expressed as an improper fraction in simplest form? Enter your answer in the box.

Answer 1

Answer:

$\frac{103}{25}$

Step-by-step explanation:

Here, the given expression,

$4.12$

Since, We can write,

$4.12=\frac{4.12}{1}$

$=\frac{4.12\times 100}{1\times 100}$

$=\frac{412}{100}$

$\implies 4.12 = \frac{412}{100}$

We know that , 412 = 2 × 2 × 103,

100 = 2 × 2 × 5 × 5,

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

$4.12=\frac{412/4}{100/4}$

$\implies 4.12=\frac{103}{25}$

Where, 103 and 25 are distinct integers,

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

Answer 2

$4.\underbrace{12}_{2}=\dfrac{412}{1\underbrace{00}_2}=\dfrac{412}{100}=\dfrac{412:4}{100:4}=\dfrac{103}{25}$