Converting 3.11712 to a Fraction
Step-by-step explanation of how to convert 3.11712 to a fraction
Result
3.11712 =
9741
3125
Mixed number:
3
366
3125
Step 1: Identify the number of decimal places
The decimal 3.11712 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.11712 × 100000 = 311712
Step 3: Write as a fraction
3.11712 =
311712
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 311712 and 100000.
GCD(311712, 100000) = 32
Divide both the numerator and denominator by the GCD:
311712
100000
=
311712 ÷ 32
100000 ÷ 32
=
9741
3125
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