So, im doing a math lesson right now and taking notes. one of the examples makes no sense to me. The example is, 4/8+5/12. Here is where it gets confusing. The first step is to, rename the fractions using the LCD, 24. I made the denominator 24. The next step is to, add the numerators and place the sum over the common denominator. The math problem that they have makes no sense, it is 4/8+5/12=12/24+10/24. Can someone please explain to me how they got 12 and 10 when it said to add the numerators?

Question

So, im doing a math lesson right now and taking notes. one of the examples makes no sense to me. The example is, 4/8+5/12. Here is where it gets confusing. The first step is to, rename the fractions using the LCD, 24. I made the denominator 24. The next step is to, add the numerators and place the sum over the common denominator. The math problem that they have makes no sense, it is 4/8+5/12=12/24+10/24. Can someone please explain to me how they got 12 and 10 when it said to add the numerators?

Answer 1

when you make the denominators 24 , you have to similarly adjust the numerators to maintain the value of the fraction

... this is the "renaming" process

4/8 is equal to 12/24 ... they both reduce to 1/2

Answer 2

4/8 = 12/24

24 / 8 = 3
3 * 4 = 12

5/12 = 10/24
24/12 = 2
2 * 5 = 10

Now add the numerators. 10 + 12 = 22

Answer 3

Thank you for the help!

Answer 4

You're welcome.

Answer 5

In the given example, you are asked to add the fractions 4/8 and 5/12. The first step is to find the least common denominator (LCD) of the two fractions. The LCD in this case is 24, which means we need to make both fractions have denominators of 24.

To convert 4/8 to a fraction with a denominator of 24, you need to multiply both the numerator and denominator by a number that will result in 24 as the denominator. In this case, multiplying numerator and denominator by 3 gives you 12/24.

Similarly, to convert 5/12 to a fraction with a denominator of 24, you need to multiply both the numerator and denominator by a number that will result in 24. In this case, multiplying numerator and denominator by 2 gives you 10/24.

So, after renaming the fractions using the LCD of 24, we have 4/8 = 12/24 and 5/12 = 10/24.

Now, to add these fractions, you add the numerators (the numbers on the top) and place the sum over the common denominator. In this case, 12/24 + 10/24 = (12 + 10)/24 = 22/24.

So, the correct calculation for 4/8 + 5/12 is indeed 22/24, not 12/24 + 10/24 as you mentioned. It seems that there might be an error or confusion in the example you were given. Double-check the steps and calculations to make sure you are following the correct process.