Converting 30.786 to a Fraction
Step-by-step explanation of how to convert 30.786 to a fraction
Result
30.786 =
15393
500
Mixed number:
30
393
500
Step 1: Identify the number of decimal places
The decimal 30.786 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
30.786 × 1000 = 30786
Step 3: Write as a fraction
30.786 =
30786
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 30786 and 1000.
GCD(30786, 1000) = 2
Divide both the numerator and denominator by the GCD:
30786
1000
=
30786 ÷ 2
1000 ÷ 2
=
15393
500
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