Converting 3.976 to a Fraction
Step-by-step explanation of how to convert 3.976 to a fraction

Result

3.976 =
497
125
Mixed number:
3
122
125

Step 1: Identify the number of decimal places

The decimal 3.976 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.976 × 1000 = 3976

Step 3: Write as a fraction

3.976 =

3976
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3976 and 1000.

GCD(3976, 1000) = 8

Divide both the numerator and denominator by the GCD:

3976
1000

=

3976 ÷ 8
1000 ÷ 8

=

497
125
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