Converting 49.2276 to a Fraction
Step-by-step explanation of how to convert 49.2276 to a fraction

Result

49.2276 =
123069
2500
Mixed number:
49
569
2500

Step 1: Identify the number of decimal places

The decimal 49.2276 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

49.2276 × 10000 = 492276

Step 3: Write as a fraction

49.2276 =

492276
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 492276 and 10000.

GCD(492276, 10000) = 4

Divide both the numerator and denominator by the GCD:

492276
10000

=

492276 ÷ 4
10000 ÷ 4

=

123069
2500
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