Converting 29.828 to a Fraction
Step-by-step explanation of how to convert 29.828 to a fraction

Result

29.828 =
7457
250
Mixed number:
29
207
250

Step 1: Identify the number of decimal places

The decimal 29.828 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

29.828 × 1000 = 29828

Step 3: Write as a fraction

29.828 =

29828
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 29828 and 1000.

GCD(29828, 1000) = 4

Divide both the numerator and denominator by the GCD:

29828
1000

=

29828 ÷ 4
1000 ÷ 4

=

7457
250
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