Converting 5.1625 to a Fraction
Step-by-step explanation of how to convert 5.1625 to a fraction

Result

5.1625 =
413
80
Mixed number:
5
13
80

Step 1: Identify the number of decimal places

The decimal 5.1625 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.1625 × 10000 = 51625

Step 3: Write as a fraction

5.1625 =

51625
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 51625 and 10000.

GCD(51625, 10000) = 125

Divide both the numerator and denominator by the GCD:

51625
10000

=

51625 ÷ 125
10000 ÷ 125

=

413
80
Related Conversions
Other decimal to fraction conversions you might find useful