Converting 10.876 to a Fraction
Step-by-step explanation of how to convert 10.876 to a fraction

Result

10.876 =
2719
250
Mixed number:
10
219
250

Step 1: Identify the number of decimal places

The decimal 10.876 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.876 × 1000 = 10876

Step 3: Write as a fraction

10.876 =

10876
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10876 and 1000.

GCD(10876, 1000) = 4

Divide both the numerator and denominator by the GCD:

10876
1000

=

10876 ÷ 4
1000 ÷ 4

=

2719
250
Related Conversions
Other decimal to fraction conversions you might find useful