Converting 4.09248 to a Fraction
Step-by-step explanation of how to convert 4.09248 to a fraction

Result

4.09248 =
12789
3125
Mixed number:
4
289
3125

Step 1: Identify the number of decimal places

The decimal 4.09248 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.09248 × 100000 = 409248

Step 3: Write as a fraction

4.09248 =

409248
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 409248 and 100000.

GCD(409248, 100000) = 32

Divide both the numerator and denominator by the GCD:

409248
100000

=

409248 ÷ 32
100000 ÷ 32

=

12789
3125
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