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Please help!!!

simplify -2 3/5 - 5 1/2
A: -10 3/10
B: -8 1/10
C: -3 3/10
D: 7 1/10

1 Answer

2 votes

Final answer:

To simplify the expression -2 3/5 - 5 1/2, convert the mixed numbers to improper fractions, find a common denominator, and subtract the fractions to get the simplified form.

option b is the correct

Step-by-step explanation:

To simplify the expression -2 3/5 - 5 1/2, we need to convert the mixed numbers to improper fractions and then find a common denominator.

-2 3/5 can be written as (-2 * 5 + 3)/5 = -13/5.

Similarly, 5 1/2 can be written as (5 * 2 + 1)/2 = 11/2.

Now we can subtract the fractions: -13/5 - 11/2.

First, we need to find a common denominator, which is the least common multiple of 5 and 2, which is 10.

Next, we rewrite the fractions with the common denominator: (-13/5) * (2/2) = -26/10 and (11/2) * (5/5) = 55/10.

Finally, subtract the fractions: -26/10 - 55/10 = -81/10.

So, the simplified form of -2 3/5 - 5 1/2 is -8 1/10, option B.

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