What is 4,1/4−2,2/4

Question

?

Select the two answers that apply.

(1 point)
Responses

3/4

3 4

5/4

5 4

7/4

7 4

1,3/4

1 3 4

2,1/4

2 1 4

Answer 1

To solve \( 4 \frac{1}{4} - 2 \frac{2}{4} \), we first convert these mixed numbers into improper fractions.

1. Convert \( 4 \frac{1}{4} \): \[ 4 \frac{1}{4} = 4 + \frac{1}{4} = \frac{16}{4} + \frac{1}{4} = \frac{17}{4} \]

2. Convert \( 2 \frac{2}{4} \): \[ 2 \frac{2}{4} = 2 + \frac{2}{4} = \frac{8}{4} + \frac{2}{4} = \frac{10}{4} \]

Now we can subtract the two improper fractions: \[ \frac{17}{4} - \frac{10}{4} = \frac{17 - 10}{4} = \frac{7}{4} \]

Now, let's convert \( \frac{7}{4} \) back into a mixed number: \[ \frac{7}{4} = 1 \frac{3}{4} \]

The answers that apply are:

• \( \frac{7}{4} \) (as an improper fraction)
• \( 1 \frac{3}{4} \) (as a mixed number)

So the correct responses are:

• 7/4
• 1 3 4 (or \( 1 \frac{3}{4} \))