Converting 4.096875 to a Fraction
Step-by-step explanation of how to convert 4.096875 to a fraction
Result
4.096875 =
1311
320
Mixed number:
4
31
320
Step 1: Identify the number of decimal places
The decimal 4.096875 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
4.096875 × 1000000 = 4096875
Step 3: Write as a fraction
4.096875 =
4096875
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4096875 and 1000000.
GCD(4096875, 1000000) = 3125
Divide both the numerator and denominator by the GCD:
4096875
1000000
=
4096875 ÷ 3125
1000000 ÷ 3125
=
1311
320
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