Converting 3.14496 to a Fraction
Step-by-step explanation of how to convert 3.14496 to a fraction
Result
3.14496 =
9828
3125
Mixed number:
3
453
3125
Step 1: Identify the number of decimal places
The decimal 3.14496 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.14496 × 100000 = 314496
Step 3: Write as a fraction
3.14496 =
314496
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 314496 and 100000.
GCD(314496, 100000) = 32
Divide both the numerator and denominator by the GCD:
314496
100000
=
314496 ÷ 32
100000 ÷ 32
=
9828
3125
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