Converting 3.164 to a Fraction
Step-by-step explanation of how to convert 3.164 to a fraction

Result

3.164 =
791
250
Mixed number:
3
41
250

Step 1: Identify the number of decimal places

The decimal 3.164 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.164 × 1000 = 3164

Step 3: Write as a fraction

3.164 =

3164
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3164 and 1000.

GCD(3164, 1000) = 4

Divide both the numerator and denominator by the GCD:

3164
1000

=

3164 ÷ 4
1000 ÷ 4

=

791
250
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