Converting 3.676 to a Fraction
Step-by-step explanation of how to convert 3.676 to a fraction

Result

3.676 =
919
250
Mixed number:
3
169
250

Step 1: Identify the number of decimal places

The decimal 3.676 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.676 × 1000 = 3676

Step 3: Write as a fraction

3.676 =

3676
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3676 and 1000.

GCD(3676, 1000) = 4

Divide both the numerator and denominator by the GCD:

3676
1000

=

3676 ÷ 4
1000 ÷ 4

=

919
250
Related Conversions
Other decimal to fraction conversions you might find useful