Converting 49.135 to a Fraction
Step-by-step explanation of how to convert 49.135 to a fraction
Result
49.135 =
9827
200
Mixed number:
49
27
200
Step 1: Identify the number of decimal places
The decimal 49.135 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
49.135 × 1000 = 49135
Step 3: Write as a fraction
49.135 =
49135
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 49135 and 1000.
GCD(49135, 1000) = 5
Divide both the numerator and denominator by the GCD:
49135
1000
=
49135 ÷ 5
1000 ÷ 5
=
9827
200
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