Converting 33.974 to a Fraction
Step-by-step explanation of how to convert 33.974 to a fraction

Result

33.974 =
16987
500
Mixed number:
33
487
500

Step 1: Identify the number of decimal places

The decimal 33.974 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

33.974 × 1000 = 33974

Step 3: Write as a fraction

33.974 =

33974
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 33974 and 1000.

GCD(33974, 1000) = 2

Divide both the numerator and denominator by the GCD:

33974
1000

=

33974 ÷ 2
1000 ÷ 2

=

16987
500
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