Converting 2.78624 to a Fraction
Step-by-step explanation of how to convert 2.78624 to a fraction
Result
2.78624 =
8707
3125
Mixed number:
2
2457
3125
Step 1: Identify the number of decimal places
The decimal 2.78624 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.78624 × 100000 = 278624
Step 3: Write as a fraction
2.78624 =
278624
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 278624 and 100000.
GCD(278624, 100000) = 32
Divide both the numerator and denominator by the GCD:
278624
100000
=
278624 ÷ 32
100000 ÷ 32
=
8707
3125
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