Converting 30.152 to a Fraction
Step-by-step explanation of how to convert 30.152 to a fraction
Result
30.152 =
3769
125
Mixed number:
30
19
125
Step 1: Identify the number of decimal places
The decimal 30.152 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
30.152 × 1000 = 30152
Step 3: Write as a fraction
30.152 =
30152
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 30152 and 1000.
GCD(30152, 1000) = 8
Divide both the numerator and denominator by the GCD:
30152
1000
=
30152 ÷ 8
1000 ÷ 8
=
3769
125
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