Converting 45.922 to a Fraction
Step-by-step explanation of how to convert 45.922 to a fraction
Result
45.922 =
22961
500
Mixed number:
45
461
500
Step 1: Identify the number of decimal places
The decimal 45.922 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
45.922 × 1000 = 45922
Step 3: Write as a fraction
45.922 =
45922
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 45922 and 1000.
GCD(45922, 1000) = 2
Divide both the numerator and denominator by the GCD:
45922
1000
=
45922 ÷ 2
1000 ÷ 2
=
22961
500
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