Converting 13.7864 to a Fraction
Step-by-step explanation of how to convert 13.7864 to a fraction
Result
13.7864 =
17233
1250
Mixed number:
13
983
1250
Step 1: Identify the number of decimal places
The decimal 13.7864 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
13.7864 × 10000 = 137864
Step 3: Write as a fraction
13.7864 =
137864
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 137864 and 10000.
GCD(137864, 10000) = 8
Divide both the numerator and denominator by the GCD:
137864
10000
=
137864 ÷ 8
10000 ÷ 8
=
17233
1250
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