Converting 43.722 to a Fraction
Step-by-step explanation of how to convert 43.722 to a fraction
Result
43.722 =
21861
500
Mixed number:
43
361
500
Step 1: Identify the number of decimal places
The decimal 43.722 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
43.722 × 1000 = 43722
Step 3: Write as a fraction
43.722 =
43722
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 43722 and 1000.
GCD(43722, 1000) = 2
Divide both the numerator and denominator by the GCD:
43722
1000
=
43722 ÷ 2
1000 ÷ 2
=
21861
500
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