Converting 10.338 to a Fraction
Step-by-step explanation of how to convert 10.338 to a fraction

Result

10.338 =
5169
500
Mixed number:
10
169
500

Step 1: Identify the number of decimal places

The decimal 10.338 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.338 × 1000 = 10338

Step 3: Write as a fraction

10.338 =

10338
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10338 and 1000.

GCD(10338, 1000) = 2

Divide both the numerator and denominator by the GCD:

10338
1000

=

10338 ÷ 2
1000 ÷ 2

=

5169
500
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