Converting 4.196 to a Fraction
Step-by-step explanation of how to convert 4.196 to a fraction

Result

4.196 =
1049
250
Mixed number:
4
49
250

Step 1: Identify the number of decimal places

The decimal 4.196 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.196 × 1000 = 4196

Step 3: Write as a fraction

4.196 =

4196
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4196 and 1000.

GCD(4196, 1000) = 4

Divide both the numerator and denominator by the GCD:

4196
1000

=

4196 ÷ 4
1000 ÷ 4

=

1049
250
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