Converting 10.498744 to a Fraction
Step-by-step explanation of how to convert 10.498744 to a fraction

Result

10.498744 =
1312343
125000
Mixed number:
10
62343
125000

Step 1: Identify the number of decimal places

The decimal 10.498744 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

10.498744 × 1000000 = 10498744

Step 3: Write as a fraction

10.498744 =

10498744
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10498744 and 1000000.

GCD(10498744, 1000000) = 8

Divide both the numerator and denominator by the GCD:

10498744
1000000

=

10498744 ÷ 8
1000000 ÷ 8

=

1312343
125000
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