Converting 23.20768 to a Fraction
Step-by-step explanation of how to convert 23.20768 to a fraction

Result

23.20768 =
72524
3125
Mixed number:
23
649
3125

Step 1: Identify the number of decimal places

The decimal 23.20768 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

23.20768 × 100000 = 2320768

Step 3: Write as a fraction

23.20768 =

2320768
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2320768 and 100000.

GCD(2320768, 100000) = 32

Divide both the numerator and denominator by the GCD:

2320768
100000

=

2320768 ÷ 32
100000 ÷ 32

=

72524
3125
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