Converting 35.924 to a Fraction
Step-by-step explanation of how to convert 35.924 to a fraction
Result
35.924 =
8981
250
Mixed number:
35
231
250
Step 1: Identify the number of decimal places
The decimal 35.924 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
35.924 × 1000 = 35924
Step 3: Write as a fraction
35.924 =
35924
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 35924 and 1000.
GCD(35924, 1000) = 4
Divide both the numerator and denominator by the GCD:
35924
1000
=
35924 ÷ 4
1000 ÷ 4
=
8981
250
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