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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