Converting 21.7174 to a Fraction
Step-by-step explanation of how to convert 21.7174 to a fraction

Result

21.7174 =
108587
5000
Mixed number:
21
3587
5000

Step 1: Identify the number of decimal places

The decimal 21.7174 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.7174 × 10000 = 217174

Step 3: Write as a fraction

21.7174 =

217174
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 217174 and 10000.

GCD(217174, 10000) = 2

Divide both the numerator and denominator by the GCD:

217174
10000

=

217174 ÷ 2
10000 ÷ 2

=

108587
5000
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