Converting 49.625 to a Fraction
Step-by-step explanation of how to convert 49.625 to a fraction

Result

49.625 =
397
8
Mixed number:
49
5
8

Step 1: Identify the number of decimal places

The decimal 49.625 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

49.625 × 1000 = 49625

Step 3: Write as a fraction

49.625 =

49625
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49625 and 1000.

GCD(49625, 1000) = 125

Divide both the numerator and denominator by the GCD:

49625
1000

=

49625 ÷ 125
1000 ÷ 125

=

397
8
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