Converting 13.7624 to a Fraction
Step-by-step explanation of how to convert 13.7624 to a fraction

Result

13.7624 =
17203
1250
Mixed number:
13
953
1250

Step 1: Identify the number of decimal places

The decimal 13.7624 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.7624 × 10000 = 137624

Step 3: Write as a fraction

13.7624 =

137624
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 137624 and 10000.

GCD(137624, 10000) = 8

Divide both the numerator and denominator by the GCD:

137624
10000

=

137624 ÷ 8
10000 ÷ 8

=

17203
1250
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