Question

1) 1 3/4+(-1/2) 2) 4 3/8 + (-1/4)3) 4 1/3 + (-7 5/9)

Answer 1

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

2) 4 3/8 + (-1/4)=4 3/8-1/4=4 3/8-2/8=

4 1/8

3) 4 1/3 + (-7 5/9)=4 1/3-7 5/9=4 3/9-

7 5/9=-3 2/9

Answer 2

Let's solve the given arithmetic expressions step by step:

1. 1 3/4 + (-1/2)

To add these two fractions, we need to find a common denominator, which in this case is 4. The first fraction is already out of 4, so we just need to convert the second fraction:

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

2. 4 3/8 + (-1/4)

Again, we need to find a common denominator, which is 8 in this case. Convert the second fraction:

4 3/8 + (-1/4) = 4 3/8 + (-2/8) = 4 + (3 - 2)/8 = 4 + 1/8 = 4 1/8

3. 4 1/3 + (-7 5/9)

For this expression, let's find a common denominator, which is 9:

4 1/3 + (-7 5/9) = 4 3/9 + (-7 5/9)

Now, since both fractions have the same denominator, we can simply add the whole numbers and the fractions separately:

4 + (-7) = -3 3/9 + 5/9 = 8/9

Combine the results:

-3 8/9

So, the simplified forms of the given expressions are:

1. 1 3/4 + (-1/2) = 1 1/4
2. 4 3/8 + (-1/4) = 4 1/8
3. 4 1/3 + (-7 5/9) = -3 8/9