Converting 30.76824 to a Fraction
Step-by-step explanation of how to convert 30.76824 to a fraction
Result
30.76824 =
384603
12500
Mixed number:
30
9603
12500
Step 1: Identify the number of decimal places
The decimal 30.76824 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
30.76824 × 100000 = 3076824
Step 3: Write as a fraction
30.76824 =
3076824
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3076824 and 100000.
GCD(3076824, 100000) = 8
Divide both the numerator and denominator by the GCD:
3076824
100000
=
3076824 ÷ 8
100000 ÷ 8
=
384603
12500
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