Converting 2.146875 to a Fraction
Step-by-step explanation of how to convert 2.146875 to a fraction

Result

2.146875 =
687
320
Mixed number:
2
47
320

Step 1: Identify the number of decimal places

The decimal 2.146875 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

2.146875 × 1000000 = 2146875

Step 3: Write as a fraction

2.146875 =

2146875
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2146875 and 1000000.

GCD(2146875, 1000000) = 3125

Divide both the numerator and denominator by the GCD:

2146875
1000000

=

2146875 ÷ 3125
1000000 ÷ 3125

=

687
320
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