What is
6 1/3 + 2 2/9
To add these mixed numbers, we first need to convert them into improper fractions.
To convert 6 1/3 into an improper fraction:
6 * 3 = 18
18 + 1 = 19
19/3
To convert 2 2/9 into an improper fraction:
2 * 9 = 18
18 + 2 = 20
20/9
Now, we can add the fractions:
19/3 + 20/9
To add fractions, we need to find a common denominator. The least common multiple of 3 and 9 is 9.
19/3 = (19 * 3) / (3 * 3) = 57/9
20/9 (no need to change since the denominator is already 9)
Now, we can add the fractions:
57/9 + 20/9 = (57 + 20)/9 = 77/9
Therefore, 6 1/3 + 2 2/9 = 77/9
To add mixed numbers, we first need to convert them to improper fractions.
6 1/3 can be converted to an improper fraction by multiplying the whole number (6) by the denominator of the fraction (3) and adding the numerator (1). So, 6 1/3 becomes (6 * 3 + 1)/3 = 19/3.
Similarly, 2 2/9 can be converted to (2 * 9 + 2)/9 = 20/9.
Now we can add the fractions:
19/3 + 20/9
To add fractions with different denominators, we first need to find a common denominator. The smallest number that both 3 and 9 divide evenly into is 9.
To convert the fractions to have a common denominator of 9:
19/3 * 3/3 = 57/9
20/9
Now we can add the fractions:
57/9 + 20/9 = (57 + 20)/9 = 77/9
So, 6 1/3 + 2 2/9 = 77/9.
To add 6 1/3 and 2 2/9, you need to find a common denominator for the fractions. The denominator for 1/3 is 3, and the denominator for 2/9 is 9. The least common multiple of 3 and 9 is 9, so we will use 9 as the common denominator.
First, convert the whole numbers to fractions: 6 = 6/1 and 2 = 2/1.
Now, we can convert the mixed numbers to improper fractions. To do this, multiply the whole number by the denominator and add the numerator.
6 1/3 = (6 * 3 + 1) / 3 = 19 / 3
2 2/9 = (2 * 9 + 2) / 9 = 20 / 9
Now that both fractions have the same denominator, we can add them together.
19/3 + 20/9 = (19 * 3 + 20) / 3 = 77 / 9
Thus, 6 1/3 + 2 2/9 equals to 77/9.
What is
2 1/9 - 8/9
To subtract these mixed numbers, we first need to convert them into improper fractions.
To convert 2 1/9 into an improper fraction:
2 * 9 = 18
18 + 1 = 19
19/9
Now, we can subtract the fractions:
19/9 - 8/9
Since the denominators are the same, we can subtract the numerators directly:
19 - 8 = 11
So, 2 1/9 - 8/9 = 11/9