Converting 46.196 to a Fraction
Step-by-step explanation of how to convert 46.196 to a fraction
Result
46.196 =
11549
250
Mixed number:
46
49
250
Step 1: Identify the number of decimal places
The decimal 46.196 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
46.196 × 1000 = 46196
Step 3: Write as a fraction
46.196 =
46196
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 46196 and 1000.
GCD(46196, 1000) = 4
Divide both the numerator and denominator by the GCD:
46196
1000
=
46196 ÷ 4
1000 ÷ 4
=
11549
250
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