Converting 43.1824 to a Fraction
Step-by-step explanation of how to convert 43.1824 to a fraction
Result
43.1824 =
26989
625
Mixed number:
43
114
625
Step 1: Identify the number of decimal places
The decimal 43.1824 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
43.1824 × 10000 = 431824
Step 3: Write as a fraction
43.1824 =
431824
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 431824 and 10000.
GCD(431824, 10000) = 16
Divide both the numerator and denominator by the GCD:
431824
10000
=
431824 ÷ 16
10000 ÷ 16
=
26989
625
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