Converting 4.89344 to a Fraction
Step-by-step explanation of how to convert 4.89344 to a fraction

Result

4.89344 =
15292
3125
Mixed number:
4
2792
3125

Step 1: Identify the number of decimal places

The decimal 4.89344 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.89344 × 100000 = 489344

Step 3: Write as a fraction

4.89344 =

489344
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 489344 and 100000.

GCD(489344, 100000) = 32

Divide both the numerator and denominator by the GCD:

489344
100000

=

489344 ÷ 32
100000 ÷ 32

=

15292
3125
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