Converting 4.73824 to a Fraction
Step-by-step explanation of how to convert 4.73824 to a fraction
Result
4.73824 =
14807
3125
Mixed number:
4
2307
3125
Step 1: Identify the number of decimal places
The decimal 4.73824 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
4.73824 × 100000 = 473824
Step 3: Write as a fraction
4.73824 =
473824
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 473824 and 100000.
GCD(473824, 100000) = 32
Divide both the numerator and denominator by the GCD:
473824
100000
=
473824 ÷ 32
100000 ÷ 32
=
14807
3125
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