Converting 3.021875 to a Fraction
Step-by-step explanation of how to convert 3.021875 to a fraction

Result

3.021875 =
967
320
Mixed number:
3
7
320

Step 1: Identify the number of decimal places

The decimal 3.021875 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

3.021875 × 1000000 = 3021875

Step 3: Write as a fraction

3.021875 =

3021875
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3021875 and 1000000.

GCD(3021875, 1000000) = 3125

Divide both the numerator and denominator by the GCD:

3021875
1000000

=

3021875 ÷ 3125
1000000 ÷ 3125

=

967
320
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