Converting 13.7626 to a Fraction
Step-by-step explanation of how to convert 13.7626 to a fraction

Result

13.7626 =
68813
5000
Mixed number:
13
3813
5000

Step 1: Identify the number of decimal places

The decimal 13.7626 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.7626 × 10000 = 137626

Step 3: Write as a fraction

13.7626 =

137626
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 137626 and 10000.

GCD(137626, 10000) = 2

Divide both the numerator and denominator by the GCD:

137626
10000

=

137626 ÷ 2
10000 ÷ 2

=

68813
5000
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