Converting 5.78316 to a Fraction
Step-by-step explanation of how to convert 5.78316 to a fraction
Result
5.78316 =
144579
25000
Mixed number:
5
19579
25000
Step 1: Identify the number of decimal places
The decimal 5.78316 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
5.78316 × 100000 = 578316
Step 3: Write as a fraction
5.78316 =
578316
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 578316 and 100000.
GCD(578316, 100000) = 4
Divide both the numerator and denominator by the GCD:
578316
100000
=
578316 ÷ 4
100000 ÷ 4
=
144579
25000
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