Converting 2.81875 to a Fraction
Step-by-step explanation of how to convert 2.81875 to a fraction

Result

2.81875 =
451
160
Mixed number:
2
131
160

Step 1: Identify the number of decimal places

The decimal 2.81875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

2.81875 × 100000 = 281875

Step 3: Write as a fraction

2.81875 =

281875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 281875 and 100000.

GCD(281875, 100000) = 625

Divide both the numerator and denominator by the GCD:

281875
100000

=

281875 ÷ 625
100000 ÷ 625

=

451
160
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