Converting 30.986 to a Fraction
Step-by-step explanation of how to convert 30.986 to a fraction
Result
30.986 =
15493
500
Mixed number:
30
493
500
Step 1: Identify the number of decimal places
The decimal 30.986 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
30.986 × 1000 = 30986
Step 3: Write as a fraction
30.986 =
30986
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 30986 and 1000.
GCD(30986, 1000) = 2
Divide both the numerator and denominator by the GCD:
30986
1000
=
30986 ÷ 2
1000 ÷ 2
=
15493
500
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