adding fractions with unlike denominators:
7/9 + 5/6?
First, convert the fractions so that they have the same denominator.
7/9 = 14/18
5/6 = 15/18
14/18 + 15/18 = 29/18 = 1 11/18
http://www.mathsisfun.com/numbers/common-denominator.html
To add fractions with unlike denominators, you need to find a common denominator. Here's how you can do it step by step:
Step 1: Find the least common multiple (LCM) of the denominators. In this case, the denominators are 9 and 6. The LCM of 9 and 6 is 18.
Step 2: Adjust the fractions. To convert the fractions to have the same denominator (18), you need to multiply the numerator and denominator of each fraction by a suitable number.
For the fraction 7/9, multiply both the numerator and denominator by 2 to get 14/18.
For the fraction 5/6, multiply both the numerator and denominator by 3 to get 15/18.
Step 3: Add the fractions. Now that the fractions have the same denominator, you can simply add the numerators: 14/18 + 15/18 = 29/18.
Step 4: Simplify, if necessary. In this case, 29/18 is an improper fraction. You can simplify it by dividing the numerator by the denominator. 29 divided by 18 is 1 remainder 11, which can be written as the mixed number 1 11/18.
Therefore, 7/9 + 5/6 is equal to 1 11/18.