Converting 7.8174 to a Fraction
Step-by-step explanation of how to convert 7.8174 to a fraction
Result
7.8174 =
39087
5000
Mixed number:
7
4087
5000
Step 1: Identify the number of decimal places
The decimal 7.8174 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
7.8174 × 10000 = 78174
Step 3: Write as a fraction
7.8174 =
78174
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 78174 and 10000.
GCD(78174, 10000) = 2
Divide both the numerator and denominator by the GCD:
78174
10000
=
78174 ÷ 2
10000 ÷ 2
=
39087
5000
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