Converting 24.89824 to a Fraction
Step-by-step explanation of how to convert 24.89824 to a fraction

Result

24.89824 =
77807
3125
Mixed number:
24
2807
3125

Step 1: Identify the number of decimal places

The decimal 24.89824 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

24.89824 × 100000 = 2489824

Step 3: Write as a fraction

24.89824 =

2489824
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2489824 and 100000.

GCD(2489824, 100000) = 32

Divide both the numerator and denominator by the GCD:

2489824
100000

=

2489824 ÷ 32
100000 ÷ 32

=

77807
3125
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