What is 4−1 1/4 + 1/2

Question

A 2 7/16
B 2 3/4
C 2 1/4
D 3 1/4

Answer 1

To solve this expression, first change 4 to a fraction with the same denominator as 1/4:

4 = 16/4

Now let's re-write the expression with this new denominator:

16/4 - 1 1/4 + 1/2

Next, let's convert the mixed numbers to improper fractions:

16/4 - (4/4 + 1/4) + 1/2

Now let's add and subtract the fractions:

16/4 - 4/4 - 1/4 + 1/2

The fractions with the same denominator can be combined:

(16 - 4 - 1)/4 + 1/2

Now simplify the numerator:

11/4 + 1/2

To add these fractions, we need a common denominator:

11/4 + 2/4

Combine the fractions:

13/4

Now let's convert the improper fraction back to a mixed number:

13 ÷ 4 = 3 with a remainder of 1

So the final answer is 3 1/4.

Therefore, option D is the correct answer: 3 1/4.