Converting 15.12224 to a Fraction
Step-by-step explanation of how to convert 15.12224 to a fraction

Result

15.12224 =
47257
3125
Mixed number:
15
382
3125

Step 1: Identify the number of decimal places

The decimal 15.12224 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

15.12224 × 100000 = 1512224

Step 3: Write as a fraction

15.12224 =

1512224
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1512224 and 100000.

GCD(1512224, 100000) = 32

Divide both the numerator and denominator by the GCD:

1512224
100000

=

1512224 ÷ 32
100000 ÷ 32

=

47257
3125
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