Converting 3.733824 to a Fraction
Step-by-step explanation of how to convert 3.733824 to a fraction
Result
3.733824 =
58341
15625
Mixed number:
3
11466
15625
Step 1: Identify the number of decimal places
The decimal 3.733824 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
3.733824 × 1000000 = 3733824
Step 3: Write as a fraction
3.733824 =
3733824
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3733824 and 1000000.
GCD(3733824, 1000000) = 64
Divide both the numerator and denominator by the GCD:
3733824
1000000
=
3733824 ÷ 64
1000000 ÷ 64
=
58341
15625
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