Converting 9.85344 to a Fraction
Step-by-step explanation of how to convert 9.85344 to a fraction

Result

9.85344 =
30792
3125
Mixed number:
9
2667
3125

Step 1: Identify the number of decimal places

The decimal 9.85344 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

9.85344 × 100000 = 985344

Step 3: Write as a fraction

9.85344 =

985344
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 985344 and 100000.

GCD(985344, 100000) = 32

Divide both the numerator and denominator by the GCD:

985344
100000

=

985344 ÷ 32
100000 ÷ 32

=

30792
3125
Related Conversions
Other decimal to fraction conversions you might find useful