4 over 5 plus 8 over 9
To add fractions with different denominators, you need to find a common denominator.
Step 1: Find the least common multiple (LCM) of the denominators 5 and 9. The LCM of 5 and 9 is 45.
Step 2: Convert each fraction to an equivalent fraction with the common denominator of 45.
- For 4/5, multiply the numerator and denominator by 9, since 5 multiplied by 9 equals 45.
(4/5) * (9/9) = 36/45
- For 8/9, multiply the numerator and denominator by 5, since 9 multiplied by 5 equals 45.
(8/9) * (5/5) = 40/45
Step 3: Now that both fractions have the same denominator of 45, you can add them together.
36/45 + 40/45 = (36 + 40) / 45 = 76/45
Therefore, 4/5 plus 8/9 is equal to 76/45.