Converting 3.1764 to a Fraction
Step-by-step explanation of how to convert 3.1764 to a fraction

Result

3.1764 =
7941
2500
Mixed number:
3
441
2500

Step 1: Identify the number of decimal places

The decimal 3.1764 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.1764 × 10000 = 31764

Step 3: Write as a fraction

3.1764 =

31764
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31764 and 10000.

GCD(31764, 10000) = 4

Divide both the numerator and denominator by the GCD:

31764
10000

=

31764 ÷ 4
10000 ÷ 4

=

7941
2500
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