Converting 10.14336 to a Fraction
Step-by-step explanation of how to convert 10.14336 to a fraction
Result
10.14336 =
31698
3125
Mixed number:
10
448
3125
Step 1: Identify the number of decimal places
The decimal 10.14336 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
10.14336 × 100000 = 1014336
Step 3: Write as a fraction
10.14336 =
1014336
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1014336 and 100000.
GCD(1014336, 100000) = 32
Divide both the numerator and denominator by the GCD:
1014336
100000
=
1014336 ÷ 32
100000 ÷ 32
=
31698
3125
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