Converting 9.7536 to a Fraction
Step-by-step explanation of how to convert 9.7536 to a fraction

Result

9.7536 =
6096
625
Mixed number:
9
471
625

Step 1: Identify the number of decimal places

The decimal 9.7536 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

9.7536 × 10000 = 97536

Step 3: Write as a fraction

9.7536 =

97536
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 97536 and 10000.

GCD(97536, 10000) = 16

Divide both the numerator and denominator by the GCD:

97536
10000

=

97536 ÷ 16
10000 ÷ 16

=

6096
625
Related Conversions
Other decimal to fraction conversions you might find useful