Converting 4.829 to a Fraction
Step-by-step explanation of how to convert 4.829 to a fraction

Result

4.829 =
4829
1000
Mixed number:
4
829
1000

Step 1: Identify the number of decimal places

The decimal 4.829 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.829 × 1000 = 4829

Step 3: Write as a fraction

4.829 =

4829
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4829 and 1000.

GCD(4829, 1000) = 1

Divide both the numerator and denominator by the GCD:

4829
1000

=

4829 ÷ 1
1000 ÷ 1

=

4829
1000
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