Converting 52.125 to a Fraction
Step-by-step explanation of how to convert 52.125 to a fraction

Result

52.125 =
417
8
Mixed number:
52
1
8

Step 1: Identify the number of decimal places

The decimal 52.125 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

52.125 × 1000 = 52125

Step 3: Write as a fraction

52.125 =

52125
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 52125 and 1000.

GCD(52125, 1000) = 125

Divide both the numerator and denominator by the GCD:

52125
1000

=

52125 ÷ 125
1000 ÷ 125

=

417
8
Related Conversions
Other decimal to fraction conversions you might find useful