12 1/9 + 10 2/3
Mrs. Sue its not 17 7/9 its 22 7/9
To add mixed numbers like 12 1/9 and 10 2/3, you can follow these steps:
1. Convert the mixed numbers to improper fractions:
- To convert 12 1/9 to an improper fraction, multiply the whole number (12) by the denominator (9) and add the numerator (1). This gives you (12 * 9 + 1) / 9 = 109/9.
- To convert 10 2/3 to an improper fraction, multiply the whole number (10) by the denominator (3) and add the numerator (2). This gives you (10 * 3 + 2) / 3 = 32/3.
2. Find a common denominator:
- The denominators in this case are 9 and 3. To find a common denominator, simply multiply the two denominators together. In this case, the common denominator is 9 * 3 = 27.
3. Write the fractions with the common denominator:
- To rewrite 109/9 and 32/3 with the common denominator of 27, you need to multiply both the numerator and denominator of each fraction by the same number so that the denominators become 27.
- For 109/9, multiply both the numerator and denominator by 3 to get (109 * 3) / (9 * 3) = 327/27.
- For 32/3, multiply both the numerator and denominator by 9 to get (32 * 9) / (3 * 9) = 288/27.
4. Add the fractions:
- Now that both fractions have the same denominator, you can simply add the numerators. Add 327/27 and 288/27 to get (327 + 288) / 27 = 615/27.
5. Simplify if needed:
- If the fraction can be simplified, divide both the numerator and denominator by their greatest common divisor (GCD). In this case, 615/27 can be divided by 3, so the simplified fraction is 205/9.
So, 12 1/9 + 10 2/3 is equal to 205/9.
12 1/9 + 10 2/3
12 1/9 + 10 6/9 = 17 7/9