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.