Converting 5.205 to a Fraction
Step-by-step explanation of how to convert 5.205 to a fraction

Result

5.205 =
1041
200
Mixed number:
5
41
200

Step 1: Identify the number of decimal places

The decimal 5.205 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

5.205 × 1000 = 5205

Step 3: Write as a fraction

5.205 =

5205
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5205 and 1000.

GCD(5205, 1000) = 5

Divide both the numerator and denominator by the GCD:

5205
1000

=

5205 ÷ 5
1000 ÷ 5

=

1041
200
Related Conversions
Other decimal to fraction conversions you might find useful