Converting 3.142164 to a Fraction
Step-by-step explanation of how to convert 3.142164 to a fraction
Result
3.142164 =
785541
250000
Mixed number:
3
35541
250000
Step 1: Identify the number of decimal places
The decimal 3.142164 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
3.142164 × 1000000 = 3142164
Step 3: Write as a fraction
3.142164 =
3142164
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3142164 and 1000000.
GCD(3142164, 1000000) = 4
Divide both the numerator and denominator by the GCD:
3142164
1000000
=
3142164 ÷ 4
1000000 ÷ 4
=
785541
250000
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