Converting 3.1565 to a Fraction
Step-by-step explanation of how to convert 3.1565 to a fraction
Result
3.1565 =
6313
2000
Mixed number:
3
313
2000
Step 1: Identify the number of decimal places
The decimal 3.1565 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
3.1565 × 10000 = 31565
Step 3: Write as a fraction
3.1565 =
31565
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31565 and 10000.
GCD(31565, 10000) = 5
Divide both the numerator and denominator by the GCD:
31565
10000
=
31565 ÷ 5
10000 ÷ 5
=
6313
2000
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