Converting 13.83744 to a Fraction
Step-by-step explanation of how to convert 13.83744 to a fraction
Result
13.83744 =
43242
3125
Mixed number:
13
2617
3125
Step 1: Identify the number of decimal places
The decimal 13.83744 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
13.83744 × 100000 = 1383744
Step 3: Write as a fraction
13.83744 =
1383744
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1383744 and 100000.
GCD(1383744, 100000) = 32
Divide both the numerator and denominator by the GCD:
1383744
100000
=
1383744 ÷ 32
100000 ÷ 32
=
43242
3125
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