Converting 13.7652 to a Fraction
Step-by-step explanation of how to convert 13.7652 to a fraction

Result

13.7652 =
34413
2500
Mixed number:
13
1913
2500

Step 1: Identify the number of decimal places

The decimal 13.7652 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.7652 × 10000 = 137652

Step 3: Write as a fraction

13.7652 =

137652
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 137652 and 10000.

GCD(137652, 10000) = 4

Divide both the numerator and denominator by the GCD:

137652
10000

=

137652 ÷ 4
10000 ÷ 4

=

34413
2500
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