Converting 45.775 to a Fraction
Step-by-step explanation of how to convert 45.775 to a fraction
Result
45.775 =
1831
40
Mixed number:
45
31
40
Step 1: Identify the number of decimal places
The decimal 45.775 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
45.775 × 1000 = 45775
Step 3: Write as a fraction
45.775 =
45775
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 45775 and 1000.
GCD(45775, 1000) = 25
Divide both the numerator and denominator by the GCD:
45775
1000
=
45775 ÷ 25
1000 ÷ 25
=
1831
40
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