Converting 10.4792 to a Fraction
Step-by-step explanation of how to convert 10.4792 to a fraction

Result

10.4792 =
13099
1250
Mixed number:
10
599
1250

Step 1: Identify the number of decimal places

The decimal 10.4792 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.4792 × 10000 = 104792

Step 3: Write as a fraction

10.4792 =

104792
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 104792 and 10000.

GCD(104792, 10000) = 8

Divide both the numerator and denominator by the GCD:

104792
10000

=

104792 ÷ 8
10000 ÷ 8

=

13099
1250
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