Question

Write the following terminating decimals in the form of p/q,q is not eqals to 0 and p,q are co-
primes

1) 15.265
​

Answer 1

Answer:

3053/200

Step-by-step explanation:

let x be 15.265

i.e

$x = 15.265$

We will multiply both the sides by 1000.

Trick : no of digits aft r decimal r 3. Hence multiply both sides by 1000. (3 zeroes)

Step 1 : multiply by 1000

$1000x = 1000 \times 15.265$

Step 2 : Remove the decimals

$1000 x = 15265$

Step 3 : Divide by 1000 to get x in a side.

$\frac{1000x}{1000} = \frac{15265}{1000}$

Step 4 : Simplify

$x = \frac{15265}{1000} = \frac{15265 \div 5}{1000 \div 5} = \frac{3053}{200}$Step 5 : Find factors of the simplest number.

$200 = {2 \times 2 \times 2 \times 5 \times 5}$

We can now see that 3053 is neither divisible by 2 nor 5. The only factor is 1.

Hence we got the co-primes.

$15.265 = \frac{3053}{200}$