1/4+2/3+4/24 need to show all work

Change 1/4 and 2/3 to equivalent fractions with a common denominator of 24.

Then add the numerators.

I'll be glad to check your answer.

6/24+16/24+4/24=26/24

Right.

Simplified: 26/24 = 1 2/24 = 1 1/12

thank you so much!

You're very welcome.

To solve the expression 1/4 + 2/3 + 4/24, we need to find a common denominator for the fractions involved. The common denominator is the smallest multiple that all denominators can divide into evenly.

Let's find the common denominator:

Denominators: 4, 3, 24

We can see that 4 can divide evenly into 24, and 3 can also divide evenly into 24. Therefore, 24 is the common denominator.

Now let's convert each fraction to have a denominator of 24:

1/4 can be multiplied by 6/6 to get 6/24.
2/3 can be multiplied by 8/8 to get 16/24.
4/24 remains unchanged.

Now we have 6/24 + 16/24 + 4/24.

We can simply add the numerators together while keeping the common denominator:

6/24 + 16/24 + 4/24 = (6 + 16 + 4)/24.

Simplifying the numerator:

6 + 16 + 4 = 26.

So the final result is:

26/24.

However, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2 in this case:

26/24 = (13/12)/(12/12) = 13/12.

Therefore, 1/4 + 2/3 + 4/24 equals 13/12.