Converting 10.9754 to a Fraction
Step-by-step explanation of how to convert 10.9754 to a fraction

Result

10.9754 =
54877
5000
Mixed number:
10
4877
5000

Step 1: Identify the number of decimal places

The decimal 10.9754 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.9754 × 10000 = 109754

Step 3: Write as a fraction

10.9754 =

109754
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 109754 and 10000.

GCD(109754, 10000) = 2

Divide both the numerator and denominator by the GCD:

109754
10000

=

109754 ÷ 2
10000 ÷ 2

=

54877
5000
Related Conversions
Other decimal to fraction conversions you might find useful