Converting 47.48256 to a Fraction
Step-by-step explanation of how to convert 47.48256 to a fraction
Result
47.48256 =
148383
3125
Mixed number:
47
1508
3125
Step 1: Identify the number of decimal places
The decimal 47.48256 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
47.48256 × 100000 = 4748256
Step 3: Write as a fraction
47.48256 =
4748256
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4748256 and 100000.
GCD(4748256, 100000) = 32
Divide both the numerator and denominator by the GCD:
4748256
100000
=
4748256 ÷ 32
100000 ÷ 32
=
148383
3125
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