Converting 23.7826 to a Fraction
Step-by-step explanation of how to convert 23.7826 to a fraction

Result

23.7826 =
118913
5000
Mixed number:
23
3913
5000

Step 1: Identify the number of decimal places

The decimal 23.7826 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

23.7826 × 10000 = 237826

Step 3: Write as a fraction

23.7826 =

237826
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 237826 and 10000.

GCD(237826, 10000) = 2

Divide both the numerator and denominator by the GCD:

237826
10000

=

237826 ÷ 2
10000 ÷ 2

=

118913
5000
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