Converting 2.048 to a Fraction
Step-by-step explanation of how to convert 2.048 to a fraction
Result
2.048 =
256
125
Mixed number:
2
6
125
Step 1: Identify the number of decimal places
The decimal 2.048 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
2.048 × 1000 = 2048
Step 3: Write as a fraction
2.048 =
2048
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2048 and 1000.
GCD(2048, 1000) = 8
Divide both the numerator and denominator by the GCD:
2048
1000
=
2048 ÷ 8
1000 ÷ 8
=
256
125
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