Converting 13.5625 to a Fraction
Step-by-step explanation of how to convert 13.5625 to a fraction

Result

13.5625 =
217
16
Mixed number:
13
9
16

Step 1: Identify the number of decimal places

The decimal 13.5625 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.5625 × 10000 = 135625

Step 3: Write as a fraction

13.5625 =

135625
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 135625 and 10000.

GCD(135625, 10000) = 625

Divide both the numerator and denominator by the GCD:

135625
10000

=

135625 ÷ 625
10000 ÷ 625

=

217
16
Related Conversions
Other decimal to fraction conversions you might find useful