Question

Convert the decimal expansion 0.1777 into a rational number

Answer 1

Answer:

The rational form of the given number 0.1777  = $\frac{1777}{10,000}$

Step-by-step explanation:

The rational number is expressed as a number on the form of $(\frac{p}{q} ) , q \neq 0$

Now,here the given number in decimal form = 0.1777

To remove the decimal, firstly count the number of digits AFTER DECIMAL.

Here, number of digits after decimal = 4

SO, the decimal can be removed and replaced by 1 , by dividing with 1,0000.

$\implies 0.1777 = \frac{01,777} {10,000} = \frac{1777}{10,000}$

Hence, the rational form of the given number 0.1777  = $\frac{1777}{10,000}$