7 and 1 over 3+ 5 and 5 over 6
To add these two mixed numbers, we first need to convert them into improper fractions:
7 and 1/3 = (7 * 3 + 1) / 3 = 22/3
5 and 5/6 = (5 * 6 + 5) / 6 = 35/6
Now, we can add the fractions:
22/3 + 35/6
Since the denominators are different, we need to find a common denominator to combine them. In this case, the least common multiple (LCM) of 3 and 6 is 6.
Converting the fractions to a common denominator:
22/3 * 2/2 = 44/6
35/6
Now we can add the fractions:
44/6 + 35/6 = 79/6
So, the final answer is 79/6.
To add mixed numbers, you need to convert them into improper fractions and then add the fractions and the whole numbers separately.
Let's start with the first mixed number: 7 and 1/3.
To convert it into an improper fraction, multiply the whole number (7) by the denominator (3) and add the numerator (1). Then, write the sum over the denominator.
7 * 3 + 1 = 21 + 1 = 22
So, 7 and 1/3 can be written as the improper fraction 22/3.
Now, let's move on to the second mixed number: 5 and 5/6.
Following the same procedure, convert it into an improper fraction:
5 * 6 + 5 = 30 + 5 = 35
So, 5 and 5/6 can be written as the improper fraction 35/6.
Now we can add the two improper fractions:
22/3 + 35/6
To add fractions, you need to find a common denominator. The common denominator for 3 and 6 is 6.
To make the first fraction have a denominator of 6, multiply both the numerator and the denominator by 2:
22/3 * 2/2 = 44/6
So, the expression becomes:
44/6 + 35/6
Now, add the numerators:
44 + 35 = 79
So, the sum is 79/6.
This can also be simplified as a mixed number:
Divide the numerator (79) by the denominator (6) to get the whole number: 79 รท 6 = 13 with a remainder of 1.
So, the final answer is 13 and 1/6.
To add these two mixed numbers together, you need to find a common denominator for the fractions involved. Let's break down the calculation step-by-step:
Step 1: Convert the mixed numbers into improper fractions.
7 and 1/3 can be converted to an improper fraction as follows:
7 = (7 * 3) / 3 = 21/3
Thus, 7 and 1/3 can be written as 21/3 + 1/3 = 22/3.
Similarly,
5 and 5/6 can be converted to an improper fraction as follows:
5 = (5 * 6) / 6 = 30/6
Thus, 5 and 5/6 can be written as 30/6 + 5/6 = 35/6.
Step 2: Find a common denominator.
To add or subtract fractions, it is important to have the same denominator. In this case, both fractions already have the same denominator of 6.
Step 3: Add the fractions.
Now that the fractions have a common denominator, you can add them together:
22/3 + 35/6
Step 4: Combine the numerators and keep the common denominator.
To add fractions, you need to add their numerators while keeping the denominator the same:
(22/3) + (35/6) = (22*2)/(3*2) + 35/6 = 44/6 + 35/6
Step 5: Add the numerators.
Add the numerators together while keeping the denominator the same:
(44/6) + (35/6) = (44 + 35)/6
Step 6: Simplify the fraction if possible.
The numerator 44 + 35 = 79, so the fraction becomes 79/6.
Therefore, 7 and 1/3 + 5 and 5/6 equals 79/6.