Converting 14.4175 to a Fraction
Step-by-step explanation of how to convert 14.4175 to a fraction

Result

14.4175 =
5767
400
Mixed number:
14
167
400

Step 1: Identify the number of decimal places

The decimal 14.4175 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

14.4175 × 10000 = 144175

Step 3: Write as a fraction

14.4175 =

144175
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 144175 and 10000.

GCD(144175, 10000) = 25

Divide both the numerator and denominator by the GCD:

144175
10000

=

144175 ÷ 25
10000 ÷ 25

=

5767
400
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