Converting 2.2748 to a Fraction
Step-by-step explanation of how to convert 2.2748 to a fraction

Result

2.2748 =
5687
2500
Mixed number:
2
687
2500

Step 1: Identify the number of decimal places

The decimal 2.2748 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.2748 × 10000 = 22748

Step 3: Write as a fraction

2.2748 =

22748
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 22748 and 10000.

GCD(22748, 10000) = 4

Divide both the numerator and denominator by the GCD:

22748
10000

=

22748 ÷ 4
10000 ÷ 4

=

5687
2500
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