Question

5 2/3-4=? 12 1/4-9=? 5 2/3-1/3=?

Answer 1

5 2/3-4=(5-4)+2/3=1+2/3=1 2/3

12 1/4-9= (12-9)+1/4=3+1/4=3 1/4

5 2/3-1/3=5+(2/3-1/3)=5+1/3=5 1/3

Answer 2

Let's solve these arithmetic expressions step by step:

1. 5 2/3 - 4 To subtract these mixed numbers, we need to convert them into improper fractions. 5 2/3 = (5 * 3 + 2) / 3 = 17 / 3

Now, we can subtract 4 from 17/3: 17/3 - 4 = (17 - 12) / 3 = 5 / 3

So, 5 2/3 - 4 = 1 2/3.

2. 12 1/4 - 9 Similarly, we convert the mixed numbers into improper fractions. 12 1/4 = (12 * 4 + 1) / 4 = 49 / 4

Now, we can subtract 9 from 49/4: 49/4 - 9 = (49 - 36) / 4 = 13 / 4

So, 12 1/4 - 9 = 3 1/4.

3. 5 2/3 - 1/3 Again, convert the mixed number into an improper fraction. 5 2/3 = (5 * 3 + 2) / 3 = 17 / 3

Now, we can subtract 1/3 from 17/3: 17/3 - 1/3 = (17 - 1) / 3 = 16 / 3

So, 5 2/3 - 1/3 = 5 1/3.

Final answers:

1. 5 2/3 - 4 = 1 2/3
2. 12 1/4 - 9 = 3 1/4
3. 5 2/3 - 1/3 = 5 1/3