Converting 3.724375 to a Fraction
Step-by-step explanation of how to convert 3.724375 to a fraction
Result
3.724375 =
5959
1600
Mixed number:
3
1159
1600
Step 1: Identify the number of decimal places
The decimal 3.724375 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
3.724375 × 1000000 = 3724375
Step 3: Write as a fraction
3.724375 =
3724375
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3724375 and 1000000.
GCD(3724375, 1000000) = 625
Divide both the numerator and denominator by the GCD:
3724375
1000000
=
3724375 ÷ 625
1000000 ÷ 625
=
5959
1600
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