Converting 14.8174 to a Fraction
Step-by-step explanation of how to convert 14.8174 to a fraction
Result
14.8174 =
74087
5000
Mixed number:
14
4087
5000
Step 1: Identify the number of decimal places
The decimal 14.8174 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
14.8174 × 10000 = 148174
Step 3: Write as a fraction
14.8174 =
148174
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 148174 and 10000.
GCD(148174, 10000) = 2
Divide both the numerator and denominator by the GCD:
148174
10000
=
148174 ÷ 2
10000 ÷ 2
=
74087
5000
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