Converting 47.275 to a Fraction
Step-by-step explanation of how to convert 47.275 to a fraction
Result
47.275 =
1891
40
Mixed number:
47
11
40
Step 1: Identify the number of decimal places
The decimal 47.275 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
47.275 × 1000 = 47275
Step 3: Write as a fraction
47.275 =
47275
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 47275 and 1000.
GCD(47275, 1000) = 25
Divide both the numerator and denominator by the GCD:
47275
1000
=
47275 ÷ 25
1000 ÷ 25
=
1891
40
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