Converting 45.125 to a Fraction
Step-by-step explanation of how to convert 45.125 to a fraction
Result
45.125 =
361
8
Mixed number:
45
1
8
Step 1: Identify the number of decimal places
The decimal 45.125 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
45.125 × 1000 = 45125
Step 3: Write as a fraction
45.125 =
45125
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 45125 and 1000.
GCD(45125, 1000) = 125
Divide both the numerator and denominator by the GCD:
45125
1000
=
45125 ÷ 125
1000 ÷ 125
=
361
8
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