Converting 49.025 to a Fraction
Step-by-step explanation of how to convert 49.025 to a fraction
Result
49.025 =
1961
40
Mixed number:
49
1
40
Step 1: Identify the number of decimal places
The decimal 49.025 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
49.025 × 1000 = 49025
Step 3: Write as a fraction
49.025 =
49025
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 49025 and 1000.
GCD(49025, 1000) = 25
Divide both the numerator and denominator by the GCD:
49025
1000
=
49025 ÷ 25
1000 ÷ 25
=
1961
40
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