Converting 2.27778 to a Fraction
Step-by-step explanation of how to convert 2.27778 to a fraction

Result

2.27778 =
113889
50000
Mixed number:
2
13889
50000

Step 1: Identify the number of decimal places

The decimal 2.27778 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

2.27778 × 100000 = 227778

Step 3: Write as a fraction

2.27778 =

227778
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 227778 and 100000.

GCD(227778, 100000) = 2

Divide both the numerator and denominator by the GCD:

227778
100000

=

227778 ÷ 2
100000 ÷ 2

=

113889
50000
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