Converting 2.76125 to a Fraction
Step-by-step explanation of how to convert 2.76125 to a fraction

Result

2.76125 =
2209
800
Mixed number:
2
609
800

Step 1: Identify the number of decimal places

The decimal 2.76125 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

2.76125 × 100000 = 276125

Step 3: Write as a fraction

2.76125 =

276125
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 276125 and 100000.

GCD(276125, 100000) = 125

Divide both the numerator and denominator by the GCD:

276125
100000

=

276125 ÷ 125
100000 ÷ 125

=

2209
800
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