Converting 8.4578 to a Fraction
Step-by-step explanation of how to convert 8.4578 to a fraction

Result

8.4578 =
42289
5000
Mixed number:
8
2289
5000

Step 1: Identify the number of decimal places

The decimal 8.4578 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.4578 × 10000 = 84578

Step 3: Write as a fraction

8.4578 =

84578
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 84578 and 10000.

GCD(84578, 10000) = 2

Divide both the numerator and denominator by the GCD:

84578
10000

=

84578 ÷ 2
10000 ÷ 2

=

42289
5000
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