Converting 23.78624 to a Fraction
Step-by-step explanation of how to convert 23.78624 to a fraction

Result

23.78624 =
74332
3125
Mixed number:
23
2457
3125

Step 1: Identify the number of decimal places

The decimal 23.78624 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

23.78624 × 100000 = 2378624

Step 3: Write as a fraction

23.78624 =

2378624
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2378624 and 100000.

GCD(2378624, 100000) = 32

Divide both the numerator and denominator by the GCD:

2378624
100000

=

2378624 ÷ 32
100000 ÷ 32

=

74332
3125
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