Answer:
A. 3/125
Explanation:
• Start from the number: x = 0.024
• Write it as:
x = 0.024
-------
1
• There are 3 trailing digits in the numerator: '024'
• Multiply both the numerator and denominator by 1000:
x = 0.024·1000
-----------
1·1000
• At this point, our decimal is equal to the fraction:
0.024 = 24
--------
1000
• Find the greatest common factor of 24 and 1000. The result is 8
• Divide the numerator and denominator by the gcf:
x = 3·8
-----------
125·8
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The final result is:
0.024 = 3
-------
125