Converting 16.7174 to a Fraction
Step-by-step explanation of how to convert 16.7174 to a fraction

Result

16.7174 =
83587
5000
Mixed number:
16
3587
5000

Step 1: Identify the number of decimal places

The decimal 16.7174 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

16.7174 × 10000 = 167174

Step 3: Write as a fraction

16.7174 =

167174
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 167174 and 10000.

GCD(167174, 10000) = 2

Divide both the numerator and denominator by the GCD:

167174
10000

=

167174 ÷ 2
10000 ÷ 2

=

83587
5000
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