Converting 5.9825 to a Fraction
Step-by-step explanation of how to convert 5.9825 to a fraction
Result
5.9825 =
2393
400
Mixed number:
5
393
400
Step 1: Identify the number of decimal places
The decimal 5.9825 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
5.9825 × 10000 = 59825
Step 3: Write as a fraction
5.9825 =
59825
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 59825 and 10000.
GCD(59825, 10000) = 25
Divide both the numerator and denominator by the GCD:
59825
10000
=
59825 ÷ 25
10000 ÷ 25
=
2393
400
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