Converting 30.74944 to a Fraction
Step-by-step explanation of how to convert 30.74944 to a fraction

Result

30.74944 =
96092
3125
Mixed number:
30
2342
3125

Step 1: Identify the number of decimal places

The decimal 30.74944 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

30.74944 × 100000 = 3074944

Step 3: Write as a fraction

30.74944 =

3074944
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3074944 and 100000.

GCD(3074944, 100000) = 32

Divide both the numerator and denominator by the GCD:

3074944
100000

=

3074944 ÷ 32
100000 ÷ 32

=

96092
3125
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