Converting 7.1424 to a Fraction
Step-by-step explanation of how to convert 7.1424 to a fraction
Result
7.1424 =
4464
625
Mixed number:
7
89
625
Step 1: Identify the number of decimal places
The decimal 7.1424 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
7.1424 × 10000 = 71424
Step 3: Write as a fraction
7.1424 =
71424
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 71424 and 10000.
GCD(71424, 10000) = 16
Divide both the numerator and denominator by the GCD:
71424
10000
=
71424 ÷ 16
10000 ÷ 16
=
4464
625
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