Question

Rewrite 2 9 + 5 12 with a common denominator.

Answer 1

To rewrite 2/9 + 5/12 with a common denominator, find the least common denominator (LCD). Multiply the numerators and denominators to convert the fractions to equivalent fractions with the LCD as the denominator. Add the fractions together.

Step-by-step explanation:

To rewrite 2/9 + 5/12 with a common denominator, we need to find the least common denominator (LCD) of 9 and 12.

The LCD is the smallest number that both 9 and 12 divide into evenly. In this case, the LCD is 36.

To convert 2/9 to an equivalent fraction with a denominator of 36, we multiply the numerator and denominator by 4.

Similarly, to convert 5/12 to an equivalent fraction with a denominator of 36, we multiply the numerator and denominator by 3.

So, 2/9 is equivalent to 8/36 and 5/12 is equivalent to 15/36. Now that the fractions have a common denominator, we can add them together: 8/36 + 15/36 = 23/36.

Answer 2

For this case we have the following expression:
2/9 + 5/12
Rewriting we have:
(24 + 45) / (108)
Rewriting we have:
24/108 + 45/108
Answer:
the expression rewritten with a common denominator is given by:
24/108 + 45/108