Converting 0.2274 to a Fraction
Step-by-step explanation of how to convert 0.2274 to a fraction

Result

0.2274 =
1137
5000

Step 1: Identify the number of decimal places

The decimal 0.2274 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.2274 × 10000 = 2274

Step 3: Write as a fraction

0.2274 =

2274
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2274 and 10000.

GCD(2274, 10000) = 2

Divide both the numerator and denominator by the GCD:

2274
10000

=

2274 ÷ 2
10000 ÷ 2

=

1137
5000
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