Converting 2.782564 to a Fraction
Step-by-step explanation of how to convert 2.782564 to a fraction
Result
2.782564 =
695641
250000
Mixed number:
2
195641
250000
Step 1: Identify the number of decimal places
The decimal 2.782564 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
2.782564 × 1000000 = 2782564
Step 3: Write as a fraction
2.782564 =
2782564
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2782564 and 1000000.
GCD(2782564, 1000000) = 4
Divide both the numerator and denominator by the GCD:
2782564
1000000
=
2782564 ÷ 4
1000000 ÷ 4
=
695641
250000
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