Converting 49.1604 to a Fraction
Step-by-step explanation of how to convert 49.1604 to a fraction

Result

49.1604 =
122901
2500
Mixed number:
49
401
2500

Step 1: Identify the number of decimal places

The decimal 49.1604 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

49.1604 × 10000 = 491604

Step 3: Write as a fraction

49.1604 =

491604
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 491604 and 10000.

GCD(491604, 10000) = 4

Divide both the numerator and denominator by the GCD:

491604
10000

=

491604 ÷ 4
10000 ÷ 4

=

122901
2500
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