Converting 4.5678 to a Fraction
Step-by-step explanation of how to convert 4.5678 to a fraction

Result

4.5678 =
22839
5000
Mixed number:
4
2839
5000

Step 1: Identify the number of decimal places

The decimal 4.5678 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.5678 × 10000 = 45678

Step 3: Write as a fraction

4.5678 =

45678
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 45678 and 10000.

GCD(45678, 10000) = 2

Divide both the numerator and denominator by the GCD:

45678
10000

=

45678 ÷ 2
10000 ÷ 2

=

22839
5000
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