Converting 17.824 to a Fraction
Step-by-step explanation of how to convert 17.824 to a fraction

Result

17.824 =
2228
125
Mixed number:
17
103
125

Step 1: Identify the number of decimal places

The decimal 17.824 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

17.824 × 1000 = 17824

Step 3: Write as a fraction

17.824 =

17824
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 17824 and 1000.

GCD(17824, 1000) = 8

Divide both the numerator and denominator by the GCD:

17824
1000

=

17824 ÷ 8
1000 ÷ 8

=

2228
125
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