Converting 5.2875 to a Fraction
Step-by-step explanation of how to convert 5.2875 to a fraction

Result

5.2875 =
423
80
Mixed number:
5
23
80

Step 1: Identify the number of decimal places

The decimal 5.2875 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.2875 × 10000 = 52875

Step 3: Write as a fraction

5.2875 =

52875
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 52875 and 10000.

GCD(52875, 10000) = 125

Divide both the numerator and denominator by the GCD:

52875
10000

=

52875 ÷ 125
10000 ÷ 125

=

423
80
Related Conversions
Other decimal to fraction conversions you might find useful