Explain why 0.4 divided by 0.2 has the same answer as 4 divided by 2.

Question

(Hint: Convert the decimals into fractions with a denominator of 10.)

Answer 1

If you multiply the top and bottom of a fraction by the same thing you do not change the value of the fraction.

0.4 * 10
-----------
0.2 * 10

is exactly the same as
4
----
2