Converting 40.828 to a Fraction
Step-by-step explanation of how to convert 40.828 to a fraction
Result
40.828 =
10207
250
Mixed number:
40
207
250
Step 1: Identify the number of decimal places
The decimal 40.828 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
40.828 × 1000 = 40828
Step 3: Write as a fraction
40.828 =
40828
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40828 and 1000.
GCD(40828, 1000) = 4
Divide both the numerator and denominator by the GCD:
40828
1000
=
40828 ÷ 4
1000 ÷ 4
=
10207
250
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