Converting 14.5264 to a Fraction
Step-by-step explanation of how to convert 14.5264 to a fraction
Result
14.5264 =
9079
625
Mixed number:
14
329
625
Step 1: Identify the number of decimal places
The decimal 14.5264 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
14.5264 × 10000 = 145264
Step 3: Write as a fraction
14.5264 =
145264
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 145264 and 10000.
GCD(145264, 10000) = 16
Divide both the numerator and denominator by the GCD:
145264
10000
=
145264 ÷ 16
10000 ÷ 16
=
9079
625
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