Converting 47.57728 to a Fraction
Step-by-step explanation of how to convert 47.57728 to a fraction
Result
47.57728 =
148679
3125
Mixed number:
47
1804
3125
Step 1: Identify the number of decimal places
The decimal 47.57728 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
47.57728 × 100000 = 4757728
Step 3: Write as a fraction
47.57728 =
4757728
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4757728 and 100000.
GCD(4757728, 100000) = 32
Divide both the numerator and denominator by the GCD:
4757728
100000
=
4757728 ÷ 32
100000 ÷ 32
=
148679
3125
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