Question

Naruto practices his harmonica 1/4 hour, spends 2/3 hour working on homework and takes another 1/2 hour to do chores everyday. how much longer does naruto spend practicing his harmonica and doing his chores than working on homework?

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

Answer 1

(1/4 + 1/2) - 2/3 is the question i will be solving for you.

Step by Step:

You always want to start with the parentheses according to the PEMDAS rule. (Parentheses, Exponents, Multiply or Divide, Add or Subtract)

So, you first will do (1/4 + 1/2). They do not have the same denominator so you will find the common denominator.

If we want the denominator to be the same, we know we can do 1/2 × 2/2 because it'll make both denominators the same.
2 × 2 = 4
1 × 2 = 2

Now, our equation is (2/4 + 1/4) - 2/3.

Let's solve the equation in the parentheses.
2 + 1 = 3
The denominator stays 4.

Now, our equation is 3/4 - 2/3.
The denominator are not the same. So, our common denominator is going to be 12.

4: 4, 8, 12
3: 3, 6, 9, 12

To get the fractions to have the same denominator:

3/4 × 3/3 = 9/12
2/3 × 4/4 = 8/12

Now, our equation is 9/12 - 8/12.

9 - 8 = 1
The denominator stays the same.

So, (1/4 + 1/2) - 2/3 = 1/12.

If this doesn't help or I made a mistake, please let me know by commenting below. Leave a like and stars if this helped!