Converting 30.742 to a Fraction
Step-by-step explanation of how to convert 30.742 to a fraction
Result
30.742 =
15371
500
Mixed number:
30
371
500
Step 1: Identify the number of decimal places
The decimal 30.742 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
30.742 × 1000 = 30742
Step 3: Write as a fraction
30.742 =
30742
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 30742 and 1000.
GCD(30742, 1000) = 2
Divide both the numerator and denominator by the GCD:
30742
1000
=
30742 ÷ 2
1000 ÷ 2
=
15371
500
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