Converting 23.1875 to a Fraction
Step-by-step explanation of how to convert 23.1875 to a fraction

Result

23.1875 =
371
16
Mixed number:
23
3
16

Step 1: Identify the number of decimal places

The decimal 23.1875 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

23.1875 × 10000 = 231875

Step 3: Write as a fraction

23.1875 =

231875
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 231875 and 10000.

GCD(231875, 10000) = 625

Divide both the numerator and denominator by the GCD:

231875
10000

=

231875 ÷ 625
10000 ÷ 625

=

371
16
Related Conversions
Other decimal to fraction conversions you might find useful