Converting 5.4625 to a Fraction
Step-by-step explanation of how to convert 5.4625 to a fraction

Result

5.4625 =
437
80
Mixed number:
5
37
80

Step 1: Identify the number of decimal places

The decimal 5.4625 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.4625 × 10000 = 54625

Step 3: Write as a fraction

5.4625 =

54625
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 54625 and 10000.

GCD(54625, 10000) = 125

Divide both the numerator and denominator by the GCD:

54625
10000

=

54625 ÷ 125
10000 ÷ 125

=

437
80
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