Converting 4.2744 to a Fraction
Step-by-step explanation of how to convert 4.2744 to a fraction

Result

4.2744 =
5343
1250
Mixed number:
4
343
1250

Step 1: Identify the number of decimal places

The decimal 4.2744 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.2744 × 10000 = 42744

Step 3: Write as a fraction

4.2744 =

42744
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 42744 and 10000.

GCD(42744, 10000) = 8

Divide both the numerator and denominator by the GCD:

42744
10000

=

42744 ÷ 8
10000 ÷ 8

=

5343
1250
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