Converting 42.152 to a Fraction
Step-by-step explanation of how to convert 42.152 to a fraction
Result
42.152 =
5269
125
Mixed number:
42
19
125
Step 1: Identify the number of decimal places
The decimal 42.152 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
42.152 × 1000 = 42152
Step 3: Write as a fraction
42.152 =
42152
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 42152 and 1000.
GCD(42152, 1000) = 8
Divide both the numerator and denominator by the GCD:
42152
1000
=
42152 ÷ 8
1000 ÷ 8
=
5269
125
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