Converting 4.792 to a Fraction
Step-by-step explanation of how to convert 4.792 to a fraction

Result

4.792 =
599
125
Mixed number:
4
99
125

Step 1: Identify the number of decimal places

The decimal 4.792 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.792 × 1000 = 4792

Step 3: Write as a fraction

4.792 =

4792
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4792 and 1000.

GCD(4792, 1000) = 8

Divide both the numerator and denominator by the GCD:

4792
1000

=

4792 ÷ 8
1000 ÷ 8

=

599
125
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