Converting 30.9924 to a Fraction
Step-by-step explanation of how to convert 30.9924 to a fraction
Result
30.9924 =
77481
2500
Mixed number:
30
2481
2500
Step 1: Identify the number of decimal places
The decimal 30.9924 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.9924 × 10000 = 309924
Step 3: Write as a fraction
30.9924 =
309924
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 309924 and 10000.
GCD(309924, 10000) = 4
Divide both the numerator and denominator by the GCD:
309924
10000
=
309924 ÷ 4
10000 ÷ 4
=
77481
2500
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