Converting 6.5625 to a Fraction
Step-by-step explanation of how to convert 6.5625 to a fraction

Result

6.5625 =
105
16
Mixed number:
6
9
16

Step 1: Identify the number of decimal places

The decimal 6.5625 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.5625 × 10000 = 65625

Step 3: Write as a fraction

6.5625 =

65625
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 65625 and 10000.

GCD(65625, 10000) = 625

Divide both the numerator and denominator by the GCD:

65625
10000

=

65625 ÷ 625
10000 ÷ 625

=

105
16
Related Conversions
Other decimal to fraction conversions you might find useful