Converting 3.43125 to a Fraction
Step-by-step explanation of how to convert 3.43125 to a fraction
Result
3.43125 =
549
160
Mixed number:
3
69
160
Step 1: Identify the number of decimal places
The decimal 3.43125 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.43125 × 100000 = 343125
Step 3: Write as a fraction
3.43125 =
343125
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 343125 and 100000.
GCD(343125, 100000) = 625
Divide both the numerator and denominator by the GCD:
343125
100000
=
343125 ÷ 625
100000 ÷ 625
=
549
160
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