Converting 17.78304 to a Fraction
Step-by-step explanation of how to convert 17.78304 to a fraction

Result

17.78304 =
55572
3125
Mixed number:
17
2447
3125

Step 1: Identify the number of decimal places

The decimal 17.78304 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

17.78304 × 100000 = 1778304

Step 3: Write as a fraction

17.78304 =

1778304
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1778304 and 100000.

GCD(1778304, 100000) = 32

Divide both the numerator and denominator by the GCD:

1778304
100000

=

1778304 ÷ 32
100000 ÷ 32

=

55572
3125
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