Converting 6.296875 to a Fraction
Step-by-step explanation of how to convert 6.296875 to a fraction

Result

6.296875 =
403
64
Mixed number:
6
19
64

Step 1: Identify the number of decimal places

The decimal 6.296875 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

6.296875 × 1000000 = 6296875

Step 3: Write as a fraction

6.296875 =

6296875
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 6296875 and 1000000.

GCD(6296875, 1000000) = 15625

Divide both the numerator and denominator by the GCD:

6296875
1000000

=

6296875 ÷ 15625
1000000 ÷ 15625

=

403
64
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