Math, asked by divanshimehta912, 9 months ago

the decimal representation of 236/1800 will be
plz ans. fast ​

Answers

Answered by hukam0685
2

Step-by-step explanation:

Given that:236/1800

To find: Decimal representation of 236/1800 will be?

Solution:

To find,decimal representation is terminating or non-terminating recurring decimal

Check for Co-prime numbers first

 \frac{236}{1800}  \\  \\  =  \frac{118}{900}  \\  \\  =  \frac{59}{450}  \\  \\

Now,numerator and denominator are Co-prime numbers.

Find the prime factors of 450

450 = 2 \times 3 \times 3 \times 5 \times 5 \\  \\ 450 = 2 \times  {3}^{2}  \times  {5}^{2}  \\  \\

A rational number have terminating decimal expansion of denominator is in the form of

 {2}^{n}  \times  {5}^{m}  \:  \: n,m \: are \: positive \: integers \\  \\

But here 450 is not in the form of

 {2}^{n}  \times  {5}^{m}  \\  \\

because it has 3 also.

So,

236/1800 is non-terminating recurring decimal expansion.

Hope it helps you.

Answered by kumarisapna236
0

Answer:

non terminating repeating

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