Converting 10.4766 to a Fraction
Step-by-step explanation of how to convert 10.4766 to a fraction

Result

10.4766 =
52383
5000
Mixed number:
10
2383
5000

Step 1: Identify the number of decimal places

The decimal 10.4766 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.4766 × 10000 = 104766

Step 3: Write as a fraction

10.4766 =

104766
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 104766 and 10000.

GCD(104766, 10000) = 2

Divide both the numerator and denominator by the GCD:

104766
10000

=

104766 ÷ 2
10000 ÷ 2

=

52383
5000
Related Conversions
Other decimal to fraction conversions you might find useful