Converting 1.8164 to a Fraction
Step-by-step explanation of how to convert 1.8164 to a fraction

Result

1.8164 =
4541
2500
Mixed number:
1
2041
2500

Step 1: Identify the number of decimal places

The decimal 1.8164 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.8164 × 10000 = 18164

Step 3: Write as a fraction

1.8164 =

18164
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 18164 and 10000.

GCD(18164, 10000) = 4

Divide both the numerator and denominator by the GCD:

18164
10000

=

18164 ÷ 4
10000 ÷ 4

=

4541
2500
Related Conversions
Other decimal to fraction conversions you might find useful