How do write in simplest form given #-4/5+(-1/3)#?

Question

Roman Alvarez · Accepted Answer

#-17/15" or " -1 2/15#

To get equivalent fraction values, we must first find the "least common denominator." Next, we must combine the fractions arithmetically to get a single value. Lastly, we must "reduce" the resulting fraction (if at all possible) to obtain the "simplest" form.

With two prime numbers in the denominators, the least common denominator is simply their product: #5 xx 3 = 15#.

You multiply the given fractions by to get equivalent fractions.

#-4/5 xx 3/3# and #-1/3 xx 5/5#

#3/3xx(-4/5) + 5/5xx(-1/3) #

#= -12/15 – 5/15 #

Both are negative numbers, so the result is #-17/15#

This cannot be reduced to any simpler fraction, so this is the simplest form, unless it is given as a mixed number, #-1 2/15#

Aurora Arias · Answer

undefined To write the expression -4/5 + (-1/3) in simplest form, we first need to find a common denominator for the fractions, which is the least common multiple (LCM) of 5 and 3, which is 15.

Now, we rewrite the fractions with the common denominator:

-4/5 = -4/5 * 3/3 = -12/15
-1/3 = -1/3 * 5/5 = -5/15

Now, we can add the fractions:

-12/15 + (-5/15) = -12/15 - 5/15 = -17/15

So, the expression -4/5 + (-1/3) written in simplest form is -17/15.