To determine what should be added to 1/4 to obtain 4/9, we need to set up an equation.
Let x be the number we need to add:
x + 1/4 = 4/9
Now, we can isolate x by subtracting 1/4 from both sides:
x = 4/9 – 1/4
To subtract these fractions, we must find a common denominator. The least common denominator (LCD) of 9 and 4 is 36.
Next, we convert each fraction:
- 4/9 = (4 * 4) / (9 * 4) = 16/36
- 1/4 = (1 * 9) / (4 * 9) = 9/36
Now we can subtract:
x = 16/36 – 9/36 = (16 – 9) / 36 = 7/36
Thus, 7/36 is what should be added to 1/4 to get 4/9.