Converting 35.946 to a Fraction
Step-by-step explanation of how to convert 35.946 to a fraction

Result

35.946 =
17973
500
Mixed number:
35
473
500

Step 1: Identify the number of decimal places

The decimal 35.946 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

35.946 × 1000 = 35946

Step 3: Write as a fraction

35.946 =

35946
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 35946 and 1000.

GCD(35946, 1000) = 2

Divide both the numerator and denominator by the GCD:

35946
1000

=

35946 ÷ 2
1000 ÷ 2

=

17973
500
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