Converting 10.498 to a Fraction
Step-by-step explanation of how to convert 10.498 to a fraction

Result

10.498 =
5249
500
Mixed number:
10
249
500

Step 1: Identify the number of decimal places

The decimal 10.498 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.498 × 1000 = 10498

Step 3: Write as a fraction

10.498 =

10498
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10498 and 1000.

GCD(10498, 1000) = 2

Divide both the numerator and denominator by the GCD:

10498
1000

=

10498 ÷ 2
1000 ÷ 2

=

5249
500
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