The reason: if we deal with decimals with 1 number after the decimal point, multiplying both numbers will make these both numbers integer and then these integers could be simplified in an easier way; this will not affect the final answer.
Example:
1.5 : 2.5=?
Multiplying both numbers by 10
2.5 * 10 = 25
1.5 * 10 = 15
Then
1.5 : 2.5 = 15 : 25 = (5 * 3) : (5 * 5) = 3 : 5 = 0.6
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