Identify Operation: Identify the operation to perform on the fractions.We need to subtract the second fraction from the first one, but the second fraction has a negative sign in front of it, which means we are actually adding its opposite.
Find Common Denominator: Find a common denominator for the fractions.The denominators are 4 and 6, so the least common denominator (LCD) is 12.
Convert to LCD: Convert each fraction to an equivalent fraction with the LCD as the denominator.For the first fraction, multiply both the numerator and the denominator by 3 to get −129. For the second fraction, multiply both the numerator and the denominator by 2 to get 122.
Perform Addition: Perform the addition of the fractions.Now that the fractions have the same denominator, we can combine them: −129+122.
Add Numerators: Add the numerators and keep the common denominator.The sum of the numerators is −9+2, which equals −7. The denominator remains 12. So the combined fraction is −127.
Check for Simplification: Check if the fraction can be simplified further.The fraction −127 is already in its simplest form because 7 and 12 have no common factors other than 1.
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