Converting 30.724 to a Fraction
Step-by-step explanation of how to convert 30.724 to a fraction

Result

30.724 =
7681
250
Mixed number:
30
181
250

Step 1: Identify the number of decimal places

The decimal 30.724 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

30.724 × 1000 = 30724

Step 3: Write as a fraction

30.724 =

30724
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 30724 and 1000.

GCD(30724, 1000) = 4

Divide both the numerator and denominator by the GCD:

30724
1000

=

30724 ÷ 4
1000 ÷ 4

=

7681
250
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