Question

Write the decimal expansion of 21/52 without actual division

Answer 1

Decimal expansion of 21/52 is

0.403846154.

Answer 2

Given: fraction$\[ = \frac{{21}}{{52}}\]$.

To find: the decimal expansion without actual division.

Solution:

Multiply numerator and denominator of the given fraction by $1.92$.

$\[\frac{{21 \times 1.92}}{{52 \times 1.92}} = \frac{{40.32}}{{100}}\]$

           $\[ = 0.4032\]$

Hence, the decimal expansion of $\[ \frac{{21}}{{52}}\]$ without actual division is 0.4032.