Converting 3.726875 to a Fraction
Step-by-step explanation of how to convert 3.726875 to a fraction
Result
3.726875 =
5963
1600
Mixed number:
3
1163
1600
Step 1: Identify the number of decimal places
The decimal 3.726875 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
3.726875 × 1000000 = 3726875
Step 3: Write as a fraction
3.726875 =
3726875
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3726875 and 1000000.
GCD(3726875, 1000000) = 625
Divide both the numerator and denominator by the GCD:
3726875
1000000
=
3726875 ÷ 625
1000000 ÷ 625
=
5963
1600
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