Converting 2.278125 to a Fraction
Step-by-step explanation of how to convert 2.278125 to a fraction
Result
2.278125 =
729
320
Mixed number:
2
89
320
Step 1: Identify the number of decimal places
The decimal 2.278125 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
2.278125 × 1000000 = 2278125
Step 3: Write as a fraction
2.278125 =
2278125
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2278125 and 1000000.
GCD(2278125, 1000000) = 3125
Divide both the numerator and denominator by the GCD:
2278125
1000000
=
2278125 ÷ 3125
1000000 ÷ 3125
=
729
320
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