whats 15 2/3 + 12 3/4 as a mixed number
To add 15 2/3 and 12 3/4 as a mixed number, you first need to find a common denominator for the fractions. The least common multiple of 3 and 4 is 12. Now, convert both fractions to have a denominator of 12.
15 2/3 = 15 * 3/3 + 2/3 = 45/3 + 2/3 = 47/3
12 3/4 = 12 * 4/4 + 3/4 = 48/4 + 3/4 = 51/4
Now, add the two fractions:
47/3 + 51/4 = (47 * 4 + 51 * 3) / (3 * 4) = (188 + 153) / 12 = 341/12
The sum of 15 2/3 and 12 3/4 as a mixed number is:
28 5/12
whats 15 2/3 + 21 3/4 as a mixed number
To add 15 2/3 and 21 3/4 as a mixed number, we first convert both mixed numbers into improper fractions.
15 2/3 = (15 * 3 + 2) / 3 = 47/3
21 3/4 = (21 * 4 + 3) / 4 = 87/4
Now, we add the two fractions:
47/3 + 87/4
Since the denominators are different, we need to find a common denominator. The least common multiple of 3 and 4 is 12, so we convert both fractions to have a denominator of 12.
47/3 = (47 * 4) / (3 * 4) = 188/12
87/4 = (87 * 3) / (4 * 3) = 261/12
Now, we can add the fractions:
188/12 + 261/12 = (188 + 261) / 12 = 449/12
The sum of 15 2/3 and 21 3/4 as a mixed number is:
37 1/12
To add mixed numbers, you need to add the whole numbers and the fractions separately.
First, add the whole numbers:
15 + 12 = 27
Next, add the fractions:
2/3 + 3/4
To add fractions with different denominators, you need to find a common denominator. In this case, the common denominator is 12, as both 3 and 4 divide evenly into 12.
Converting 2/3 to 12ths, we multiply the numerator and denominator by 4:
2/3 = 8/12
Converting 3/4 to 12ths, we multiply the numerator and denominator by 3:
3/4 = 9/12
Now, add the fractions with the common denominator:
8/12 + 9/12 = 17/12
So the sum of the fractions is 17/12.
Finally, combine the whole number and the fraction:
27 + 17/12
To convert the improper fraction (17/12) to a mixed number, divide the numerator (17) by the denominator (12).
17 ÷ 12 = 1 remainder 5
Therefore, the mixed number is 1 5/12.
So, 15 2/3 + 12 3/4 as a mixed number is 28 5/12.
To find the sum of mixed numbers, you need to first convert any fractions to a common denominator.
Step 1: Convert the mixed numbers to improper fractions.
15 2/3 can be converted to an improper fraction as (15 * 3 + 2) / 3 = 47/3.
12 3/4 can be converted to an improper fraction as (12 * 4 + 3) / 4 = 51/4.
Step 2: Find the common denominator.
The common denominator for 3 and 4 is 12.
Step 3: Convert the fractions to have a common denominator.
To convert 47/3 to have a denominator of 12, we multiply both the numerator and the denominator by 4, resulting in 188/12.
To convert 51/4 to have a denominator of 12, we multiply both the numerator and the denominator by 3, resulting in 153/12.
Step 4: Add the fractions.
Now, we can add the fractions: 188/12 + 153/12 = 341/12.
The sum of the fractions is 341/12.
Step 5: Convert the improper fraction back to a mixed number.
341/12 as a mixed number can be written as 28 5/12.
Therefore, 15 2/3 + 12 3/4 is equal to 28 5/12 as a mixed number.