Converting 3.726 to a Fraction
Step-by-step explanation of how to convert 3.726 to a fraction

Result

3.726 =
1863
500
Mixed number:
3
363
500

Step 1: Identify the number of decimal places

The decimal 3.726 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.726 × 1000 = 3726

Step 3: Write as a fraction

3.726 =

3726
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3726 and 1000.

GCD(3726, 1000) = 2

Divide both the numerator and denominator by the GCD:

3726
1000

=

3726 ÷ 2
1000 ÷ 2

=

1863
500
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