Converting 29.8575 to a Fraction
Step-by-step explanation of how to convert 29.8575 to a fraction
Result
29.8575 =
11943
400
Mixed number:
29
343
400
Step 1: Identify the number of decimal places
The decimal 29.8575 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
29.8575 × 10000 = 298575
Step 3: Write as a fraction
29.8575 =
298575
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 298575 and 10000.
GCD(298575, 10000) = 25
Divide both the numerator and denominator by the GCD:
298575
10000
=
298575 ÷ 25
10000 ÷ 25
=
11943
400
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