Converting 4.7854 to a Fraction
Step-by-step explanation of how to convert 4.7854 to a fraction
Result
4.7854 =
23927
5000
Mixed number:
4
3927
5000
Step 1: Identify the number of decimal places
The decimal 4.7854 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.7854 × 10000 = 47854
Step 3: Write as a fraction
4.7854 =
47854
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 47854 and 10000.
GCD(47854, 10000) = 2
Divide both the numerator and denominator by the GCD:
47854
10000
=
47854 ÷ 2
10000 ÷ 2
=
23927
5000
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