Question

rename 1/2 and 2/3 as fractions with denominators of 6.then add the renamed fractions. write the sum as a mixed number.

Answer 1

To add 1/2 and 2/3 with a common denominator of 6, we convert them to 3/6 and 4/6 respectively, then add to get 7/6, which as a mixed number is 1 1/6.

Step-by-step explanation:

To find a common denominator for the fractions 1/2 and 2/3, we look for the least common multiple of the two denominators, which in this case is 6.

To convert these fractions to have the same denominator, we multiply the numerator and denominator of each fraction by the number that will result in the denominator being 6.

For the first fraction, we multiply 1/2 by 3/3 to get 3/6.

For the second fraction, we multiply 2/3 by 2/2 to get 4/6.

Now we can add the fractions since they have a common denominator.

The sum of the fractions 3/6 and 4/6 is 7/6. Since 7/6 is greater than 1, we can convert it to a mixed number.

To do this, we divide 7 by 6, which equals 1 with a remainder of 1.

Therefore, 7/6 as a mixed number is 1 1/6.

Answer 2

1 and 1/6

Step-by-step explanation:

To rename a fraction you multiply both numbers by however many times the original denominator goes into the new one.

2 goes into 6 three times.

1 times 3 is 3

and 2 times 3 is 6

so 1/2=3/6

3 goes into 6 twice

2 times 2 is 4

and 2 times 3 is 6

so 2/3=4/6

to add fractions you add the numerators while keeping the denominators the same.

3+4=7 so:

3/6+4/6=7/6

6/6=1

so 7/6 contains 1 whole

once you take that out you have 1/6 left over