identify the missing numerator in the addition expression 13/24 +?/24 =19/24

The missing numerator in the addition expression is 6.

To identify the missing numerator in the addition expression 13/24 + ?/24 = 19/24, we can use algebraic reasoning.

Let's denote the missing numerator as x. We know that when we add fractions with the same denominator, the denominators remain the same, and the numerators are added together.

So, the equation becomes:

13/24 + x/24 = 19/24

To solve for x, we need to isolate it on one side of the equation. Since we have fractions with the same denominator, we can combine the numerators:

(13 + x)/24 = 19/24

Now, we can solve for x by cross-multiplying:

24 * (13 + x) = 19 * 24

312 + 24x = 456

Next, we subtract 312 from both sides of the equation:

312 + 24x - 312 = 456 - 312

24x = 144

To find x, we divide both sides of the equation by 24:

(24x)/24 = 144/24

x = 6

Therefore, 6 is the missing numerator in the addition expression 13/24 + 6/24 = 19/24.

To identify the missing numerator in the addition expression, we can subtract the known numerator (13/24) from the desired numerator (19/24).

19/24 - 13/24 = ?/24

Subtracting the numerators, we have:

6/24 = ?/24

So, the missing numerator in the expression is 6.