Converting 24.784 to a Fraction
Step-by-step explanation of how to convert 24.784 to a fraction

Result

24.784 =
3098
125
Mixed number:
24
98
125

Step 1: Identify the number of decimal places

The decimal 24.784 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

24.784 × 1000 = 24784

Step 3: Write as a fraction

24.784 =

24784
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 24784 and 1000.

GCD(24784, 1000) = 8

Divide both the numerator and denominator by the GCD:

24784
1000

=

24784 ÷ 8
1000 ÷ 8

=

3098
125
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