Converting 5.9415 to a Fraction
Step-by-step explanation of how to convert 5.9415 to a fraction
Result
5.9415 =
11883
2000
Mixed number:
5
1883
2000
Step 1: Identify the number of decimal places
The decimal 5.9415 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
5.9415 × 10000 = 59415
Step 3: Write as a fraction
5.9415 =
59415
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 59415 and 10000.
GCD(59415, 10000) = 5
Divide both the numerator and denominator by the GCD:
59415
10000
=
59415 ÷ 5
10000 ÷ 5
=
11883
2000
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