Converting 5.61875 to a Fraction
Step-by-step explanation of how to convert 5.61875 to a fraction

Result

5.61875 =
899
160
Mixed number:
5
99
160

Step 1: Identify the number of decimal places

The decimal 5.61875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

5.61875 × 100000 = 561875

Step 3: Write as a fraction

5.61875 =

561875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 561875 and 100000.

GCD(561875, 100000) = 625

Divide both the numerator and denominator by the GCD:

561875
100000

=

561875 ÷ 625
100000 ÷ 625

=

899
160
Related Conversions
Other decimal to fraction conversions you might find useful