Converting 2.5875 to a Fraction
Step-by-step explanation of how to convert 2.5875 to a fraction

Result

2.5875 =
207
80
Mixed number:
2
47
80

Step 1: Identify the number of decimal places

The decimal 2.5875 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.5875 × 10000 = 25875

Step 3: Write as a fraction

2.5875 =

25875
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 25875 and 10000.

GCD(25875, 10000) = 125

Divide both the numerator and denominator by the GCD:

25875
10000

=

25875 ÷ 125
10000 ÷ 125

=

207
80
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