write the sum of 6 2/3 plus 4 1/6 in simplest form the addi
6 2/3 = 6 4/6
Now add the numerators and the whole numbers.
What do you get?
To add 6 2/3 and 4 1/6, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
6 2/3 can be written as (6 * 3 + 2) / 3 = 20/3
4 1/6 can be written as (4 * 6 + 1) / 6 = 25/6
Step 2: Find a common denominator. The common denominator here is 6.
Step 3: Add the fractions.
20/3 + 25/6 = (40/6) + (25/6) = (65/6)
Step 4: Simplify the fraction, if possible.
Since the fraction cannot be simplified any further, the sum of 6 2/3 and 4 1/6 in simplest form is 65/6.
To find the sum of 6 2/3 plus 4 1/6 in simplest form, you first need to convert the mixed numbers to improper fractions.
For 6 2/3, multiply the whole number (6) by the denominator (3), which gives you 18. Then add the numerator (2) to get 20. Therefore, 6 2/3 can be written as an improper fraction: 20/3.
For 4 1/6, multiply the whole number (4) by the denominator (6), which gives you 24. Then add the numerator (1) to get 25. Therefore, 4 1/6 can be written as an improper fraction: 25/6.
Now, you can add the two fractions:
20/3 + 25/6
To add these fractions, you need to find a common denominator. In this case, the common denominator is 6, since both fractions have denominators of 3 and 6.
Since the denominator of the first fraction is already 3, you need to multiply both the numerator and denominator of the second fraction by 2 to make the denominator 6.
(20/3) + (25/6) = (20/3) + (25*2/6) = 20/3 + 50/6
Now that the fractions have a common denominator, you can add the numerators:
20/3 + 50/6 = (20 + 50)/6 = 70/6
To simplify the fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 2:
70/6 = (70/2) / (6/2) = 35/3
So, the sum of 6 2/3 plus 4 1/6 in simplest form is 35/3.