Converting 30.738 to a Fraction
Step-by-step explanation of how to convert 30.738 to a fraction
Result
30.738 =
15369
500
Mixed number:
30
369
500
Step 1: Identify the number of decimal places
The decimal 30.738 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
30.738 × 1000 = 30738
Step 3: Write as a fraction
30.738 =
30738
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 30738 and 1000.
GCD(30738, 1000) = 2
Divide both the numerator and denominator by the GCD:
30738
1000
=
30738 ÷ 2
1000 ÷ 2
=
15369
500
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