Converting 49.975 to a Fraction
Step-by-step explanation of how to convert 49.975 to a fraction
Result
49.975 =
1999
40
Mixed number:
49
39
40
Step 1: Identify the number of decimal places
The decimal 49.975 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
49.975 × 1000 = 49975
Step 3: Write as a fraction
49.975 =
49975
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 49975 and 1000.
GCD(49975, 1000) = 25
Divide both the numerator and denominator by the GCD:
49975
1000
=
49975 ÷ 25
1000 ÷ 25
=
1999
40
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