Converting 0.4424 to a Fraction
Step-by-step explanation of how to convert 0.4424 to a fraction

Result

0.4424 =
553
1250

Step 1: Identify the number of decimal places

The decimal 0.4424 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.4424 × 10000 = 4424

Step 3: Write as a fraction

0.4424 =

4424
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4424 and 10000.

GCD(4424, 10000) = 8

Divide both the numerator and denominator by the GCD:

4424
10000

=

4424 ÷ 8
10000 ÷ 8

=

553
1250
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