Converting 10.842 to a Fraction
Step-by-step explanation of how to convert 10.842 to a fraction

Result

10.842 =
5421
500
Mixed number:
10
421
500

Step 1: Identify the number of decimal places

The decimal 10.842 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.842 × 1000 = 10842

Step 3: Write as a fraction

10.842 =

10842
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10842 and 1000.

GCD(10842, 1000) = 2

Divide both the numerator and denominator by the GCD:

10842
1000

=

10842 ÷ 2
1000 ÷ 2

=

5421
500
Related Conversions
Other decimal to fraction conversions you might find useful