Converting 2.64875 to a Fraction
Step-by-step explanation of how to convert 2.64875 to a fraction

Result

2.64875 =
2119
800
Mixed number:
2
519
800

Step 1: Identify the number of decimal places

The decimal 2.64875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

2.64875 × 100000 = 264875

Step 3: Write as a fraction

2.64875 =

264875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 264875 and 100000.

GCD(264875, 100000) = 125

Divide both the numerator and denominator by the GCD:

264875
100000

=

264875 ÷ 125
100000 ÷ 125

=

2119
800
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