Converting 1.2264 to a Fraction
Step-by-step explanation of how to convert 1.2264 to a fraction

Result

1.2264 =
1533
1250
Mixed number:
1
283
1250

Step 1: Identify the number of decimal places

The decimal 1.2264 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.2264 × 10000 = 12264

Step 3: Write as a fraction

1.2264 =

12264
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 12264 and 10000.

GCD(12264, 10000) = 8

Divide both the numerator and denominator by the GCD:

12264
10000

=

12264 ÷ 8
10000 ÷ 8

=

1533
1250
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