Converting 35.828 to a Fraction
Step-by-step explanation of how to convert 35.828 to a fraction

Result

35.828 =
8957
250
Mixed number:
35
207
250

Step 1: Identify the number of decimal places

The decimal 35.828 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

35.828 × 1000 = 35828

Step 3: Write as a fraction

35.828 =

35828
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 35828 and 1000.

GCD(35828, 1000) = 4

Divide both the numerator and denominator by the GCD:

35828
1000

=

35828 ÷ 4
1000 ÷ 4

=

8957
250
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