Converting 2.828125 to a Fraction
Step-by-step explanation of how to convert 2.828125 to a fraction
Result
2.828125 =
181
64
Mixed number:
2
53
64
Step 1: Identify the number of decimal places
The decimal 2.828125 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
2.828125 × 1000000 = 2828125
Step 3: Write as a fraction
2.828125 =
2828125
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2828125 and 1000000.
GCD(2828125, 1000000) = 15625
Divide both the numerator and denominator by the GCD:
2828125
1000000
=
2828125 ÷ 15625
1000000 ÷ 15625
=
181
64
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