Question

What is the result of the expression 2 3/8 - 3/4 - (-2 5/8)?

a) 1 3/8
b) 1 7/8
c) 2 1/8
d) 2 3/4

Answer 1

To solve the expression 2 3/8 - 3/4 - (-2 5/8), convert the mixed numbers to improper fractions, find a common denominator, subtract the fractions, and simplify. The result is 2 3/4.

Step-by-step explanation:

To solve the expression 2 3/8 - 3/4 - (-2 5/8), we need to convert all the mixed numbers into improper fractions.

An improper fraction of 2 3/8 is 19/8.

-2 5/8 as an improper fraction is -21/8.

So the expression becomes 19/8 - 3/4 - (-21/8).

We must locate a common denominator in order to subtract fractions. The common denominator in this case is 8.

Now, we can subtract the fractions: (19 - 6)/8 - ((-21)/8).

This simplifies to 13/8 + 21/8.

Adding these fractions gives us 34/8, which can be simplified to 4 1/4.

Therefore, the result of the expression is answer choice d) 2 3/4.