Converting 13.7625 to a Fraction
Step-by-step explanation of how to convert 13.7625 to a fraction
Result
13.7625 =
1101
80
Mixed number:
13
61
80
Step 1: Identify the number of decimal places
The decimal 13.7625 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
13.7625 × 10000 = 137625
Step 3: Write as a fraction
13.7625 =
137625
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 137625 and 10000.
GCD(137625, 10000) = 125
Divide both the numerator and denominator by the GCD:
137625
10000
=
137625 ÷ 125
10000 ÷ 125
=
1101
80
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