Question

the decimal expansion of 2/3 is​

Answer 1

1.5 is the answer of your question

Answer 2

Step-by-step explanation:

When the numerator and denominator of a fraction are not completely divisible by each other (i.e. leaves 0 remainder), the resultant is called the decimal expansion.

Or

When the denominator is factor of the numerator, the resultant is a decimal number called the decimal explanation of the fraction.

Since, 3 is not a factor of 2,

Therefore, the decimal expansion of 2/3

$= \frac{2}{3}$

1. Since there is no multiple of 3 smaller than 2,

We will add a 0 to the 2 to make it 20 by adding a decimal point in the resultant

$= \frac{20}{3} = 0.18$

Since 18 is the only multiple of 3 smaller than 20

2. The remainder left is 2 in the numerator, Since there is no multiple of 3 smaller than 2,

We will add a 0 to the 2 to make it 20 by adding a 0 in the resultant.

Since, 2 will always come as the remainder and process will keep on repeating endlessly, we write the resultant just till two digits after the decimal point.

Therefore, the decimal expansion of 2/3 is 0.18

$\frac{2}{3} = 0.18$