Converting 5.875 to a Fraction
Step-by-step explanation of how to convert 5.875 to a fraction
Result
5.875 =
47
8
Mixed number:
5
7
8
Step 1: Identify the number of decimal places
The decimal 5.875 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
5.875 × 1000 = 5875
Step 3: Write as a fraction
5.875 =
5875
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 5875 and 1000.
GCD(5875, 1000) = 125
Divide both the numerator and denominator by the GCD:
5875
1000
=
5875 ÷ 125
1000 ÷ 125
=
47
8
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