Converting 29.4575 to a Fraction
Step-by-step explanation of how to convert 29.4575 to a fraction
Result
29.4575 =
11783
400
Mixed number:
29
183
400
Step 1: Identify the number of decimal places
The decimal 29.4575 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
29.4575 × 10000 = 294575
Step 3: Write as a fraction
29.4575 =
294575
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 294575 and 10000.
GCD(294575, 10000) = 25
Divide both the numerator and denominator by the GCD:
294575
10000
=
294575 ÷ 25
10000 ÷ 25
=
11783
400
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