Converting 30.9768 to a Fraction
Step-by-step explanation of how to convert 30.9768 to a fraction
Result
30.9768 =
38721
1250
Mixed number:
30
1221
1250
Step 1: Identify the number of decimal places
The decimal 30.9768 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.9768 × 10000 = 309768
Step 3: Write as a fraction
30.9768 =
309768
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 309768 and 10000.
GCD(309768, 10000) = 8
Divide both the numerator and denominator by the GCD:
309768
10000
=
309768 ÷ 8
10000 ÷ 8
=
38721
1250
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