Converting 24.735 to a Fraction
Step-by-step explanation of how to convert 24.735 to a fraction

Result

24.735 =
4947
200
Mixed number:
24
147
200

Step 1: Identify the number of decimal places

The decimal 24.735 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

24.735 × 1000 = 24735

Step 3: Write as a fraction

24.735 =

24735
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 24735 and 1000.

GCD(24735, 1000) = 5

Divide both the numerator and denominator by the GCD:

24735
1000

=

24735 ÷ 5
1000 ÷ 5

=

4947
200
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