Converting 10.844 to a Fraction
Step-by-step explanation of how to convert 10.844 to a fraction

Result

10.844 =
2711
250
Mixed number:
10
211
250

Step 1: Identify the number of decimal places

The decimal 10.844 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.844 × 1000 = 10844

Step 3: Write as a fraction

10.844 =

10844
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10844 and 1000.

GCD(10844, 1000) = 4

Divide both the numerator and denominator by the GCD:

10844
1000

=

10844 ÷ 4
1000 ÷ 4

=

2711
250
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