Converting 5.13978 to a Fraction
Step-by-step explanation of how to convert 5.13978 to a fraction
Result
5.13978 =
256989
50000
Mixed number:
5
6989
50000
Step 1: Identify the number of decimal places
The decimal 5.13978 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
5.13978 × 100000 = 513978
Step 3: Write as a fraction
5.13978 =
513978
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 513978 and 100000.
GCD(513978, 100000) = 2
Divide both the numerator and denominator by the GCD:
513978
100000
=
513978 ÷ 2
100000 ÷ 2
=
256989
50000
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