Converting 30.9575 to a Fraction
Step-by-step explanation of how to convert 30.9575 to a fraction
Result
30.9575 =
12383
400
Mixed number:
30
383
400
Step 1: Identify the number of decimal places
The decimal 30.9575 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.9575 × 10000 = 309575
Step 3: Write as a fraction
30.9575 =
309575
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 309575 and 10000.
GCD(309575, 10000) = 25
Divide both the numerator and denominator by the GCD:
309575
10000
=
309575 ÷ 25
10000 ÷ 25
=
12383
400
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