Converting 2.78456 to a Fraction
Step-by-step explanation of how to convert 2.78456 to a fraction
Result
2.78456 =
34807
12500
Mixed number:
2
9807
12500
Step 1: Identify the number of decimal places
The decimal 2.78456 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.78456 × 100000 = 278456
Step 3: Write as a fraction
2.78456 =
278456
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 278456 and 100000.
GCD(278456, 100000) = 8
Divide both the numerator and denominator by the GCD:
278456
100000
=
278456 ÷ 8
100000 ÷ 8
=
34807
12500
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