simplify

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

Tutors do not do your homework.

It is obvious that you are struggling with this.

The only way you will learn is practice.

Try these problems YOURSELF.

If you have a specific question we will be more than happy to help, but YOU must attempt these problems first.

Lisa, I hope I didn't sound mean to you.

That is not my intention. You will never learn unless you try. It takes practice.

:)

Is there something in particular you don't understand about dealing with fractions?

To simplify the expression 4/5 - 1/2 (1/3 + 3/8), we need to follow a few steps.

Step 1: Simplify the expression inside the parentheses.
Inside the parentheses, we have 1/3 + 3/8. To add these fractions, we need to find a common denominator. The least common multiple of 3 and 8 is 24.

1/3 = (1/3) * (8/8) = 8/24
3/8 = (3/8) * (3/3) = 9/24

Now, we can add the fractions:
1/3 + 3/8 = 8/24 + 9/24 = 17/24

Step 2: Apply the distributive property.
We need to multiply 1/2 by the sum we just found: 17/24.

(1/2) * (17/24) = (1 * 17) / (2 * 24) = 17/48

Step 3: Subtract the result from the fraction 4/5.
To subtract fractions, we need to find a common denominator. The common denominator in this case is 48.

4/5 = (4/5) * (48/48) = 192/240
17/48 remains the same.

Now, we can subtract the fractions:
192/240 - 17/48 = (192 * 2) / (240 * 2) - 17/48 = 384/480 - 17/48 = (384 - 17) / 480 = 367/480

Therefore, the simplified form of the expression 4/5 - 1/2 (1/3 + 3/8) is 367/480.