Converting 5.8125 to a Fraction
Step-by-step explanation of how to convert 5.8125 to a fraction
Result
5.8125 =
93
16
Mixed number:
5
13
16
Step 1: Identify the number of decimal places
The decimal 5.8125 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
5.8125 × 10000 = 58125
Step 3: Write as a fraction
5.8125 =
58125
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 58125 and 10000.
GCD(58125, 10000) = 625
Divide both the numerator and denominator by the GCD:
58125
10000
=
58125 ÷ 625
10000 ÷ 625
=
93
16
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