Converting 30.9464 to a Fraction
Step-by-step explanation of how to convert 30.9464 to a fraction

Result

30.9464 =
38683
1250
Mixed number:
30
1183
1250

Step 1: Identify the number of decimal places

The decimal 30.9464 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.9464 × 10000 = 309464

Step 3: Write as a fraction

30.9464 =

309464
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 309464 and 10000.

GCD(309464, 10000) = 8

Divide both the numerator and denominator by the GCD:

309464
10000

=

309464 ÷ 8
10000 ÷ 8

=

38683
1250
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