Converting 30.7816 to a Fraction
Step-by-step explanation of how to convert 30.7816 to a fraction
Result
30.7816 =
38477
1250
Mixed number:
30
977
1250
Step 1: Identify the number of decimal places
The decimal 30.7816 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.7816 × 10000 = 307816
Step 3: Write as a fraction
30.7816 =
307816
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 307816 and 10000.
GCD(307816, 10000) = 8
Divide both the numerator and denominator by the GCD:
307816
10000
=
307816 ÷ 8
10000 ÷ 8
=
38477
1250
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