Dianna used 5/6 yd of fabric to cover a bulletin board.She use 4/9 yd of fabric to decorate a vase. How many yards of fabric did Dianna use in all?

5/6 + 4/9 = ?

Find common denominator and add.

To find out how many yards of fabric Dianna used in total, we need to add the amount of fabric she used to cover the bulletin board to the amount of fabric she used to decorate the vase.

First, we need to find a common denominator for 5/6 and 4/9. The easiest choice is the product of the two denominators, which is 6 * 9 = 54.

Next, we need to convert both fractions so they have the same denominator of 54.

To convert 5/6 to a fraction with a denominator of 54, we multiply the numerator and denominator by 9: (5/6) * (9/9) = 45/54.

To convert 4/9 to a fraction with a denominator of 54, we multiply the numerator and denominator by 6: (4/9) * (6/6) = 24/54.

Now we can add the two fractions: 45/54 + 24/54 = 69/54.

Since 69/54 is an improper fraction, we can simplify it to a mixed fraction by dividing the numerator by the denominator: 69/54 = 1 15/54.

So, Dianna used a total of 1 15/54 yards of fabric in all.