Question

-4 5/6 + (-3 4/9)
a) -8 2/3
b) -6 3/5
c) -7 5/8
d) -5 2/9

Answer 1

To add the given mixed numbers, -4 5/6 and -3 4/9, we convert them to improper fractions, find the least common denominator, add the fractions, and simplify the result to get -8 2/3.

Step-by-step explanation:

To add the given mixed numbers, -4 5/6 and -3 4/9, we need to convert them to improper fractions. -4 5/6 can be written as -29/6 and -3 4/9 can be written as -31/9. Now, we can add the fractions.

-29/6 + (-31/9)

To add these fractions, we need to find the least common denominator (LCD) of 6 and 9, which is 18. We can convert the fractions to have the common denominator of 18 by multiplying the numerator and denominator of each fraction by the appropriate factor.

-29/6 = -87/18

-31/9 = -62/18

Now, we can add the fractions: -87/18 + (-62/18) = -149/18

The fraction -149/18 can be simplified to the mixed number -8 2/3, so the answer is (a) -8 2/3.

Answer 2

To add the given mixed numbers, -4 5/6 and -3 4/9, we convert them to improper fractions, find the least common denominator, add the fractions, and simplify the result to get -8 2/3.

Step-by-step explanation:

To add the given mixed numbers, -4 5/6 and -3 4/9, we need to convert them to improper fractions. -4 5/6 can be written as -29/6 and -3 4/9 can be written as -31/9. Now, we can add the fractions.

-29/6 + (-31/9)

To add these fractions, we need to find the least common denominator (LCD) of 6 and 9, which is 18. We can convert the fractions to have the common denominator of 18 by multiplying the numerator and denominator of each fraction by the appropriate factor.

-29/6 = -87/18

-31/9 = -62/18

Now, we can add the fractions: -87/18 + (-62/18) = -149/18

The fraction -149/18 can be simplified to the mixed number -8 2/3, so the answer is (a) -8 2/3.

Answer 3

To add the given mixed numbers, -4 5/6 and -3 4/9, we convert them to improper fractions, find the least common denominator, add the fractions, and simplify the result to get -8 2/3.

Step-by-step explanation:

To add the given mixed numbers, -4 5/6 and -3 4/9, we need to convert them to improper fractions. -4 5/6 can be written as -29/6 and -3 4/9 can be written as -31/9. Now, we can add the fractions.

-29/6 + (-31/9)

To add these fractions, we need to find the least common denominator (LCD) of 6 and 9, which is 18. We can convert the fractions to have the common denominator of 18 by multiplying the numerator and denominator of each fraction by the appropriate factor.

-29/6 = -87/18

-31/9 = -62/18

Now, we can add the fractions: -87/18 + (-62/18) = -149/18

The fraction -149/18 can be simplified to the mixed number -8 2/3, so the answer is (a) -8 2/3.