Converting 47.89624 to a Fraction
Step-by-step explanation of how to convert 47.89624 to a fraction
Result
47.89624 =
598703
12500
Mixed number:
47
11203
12500
Step 1: Identify the number of decimal places
The decimal 47.89624 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
47.89624 × 100000 = 4789624
Step 3: Write as a fraction
47.89624 =
4789624
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4789624 and 100000.
GCD(4789624, 100000) = 8
Divide both the numerator and denominator by the GCD:
4789624
100000
=
4789624 ÷ 8
100000 ÷ 8
=
598703
12500
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