What is the value of the expression −6 4/9 −1 1/3

Question

A 7 7/9
B -7 7/9
C 5 1/9
D -5 1/9

Answer 1

To find the value of the expression, we can subtract the mixed numbers separately. First, we subtract the whole numbers: -6 - 1 = -7. Next, we subtract the fractions: 4/9 - 1/3.

To subtract the fractions, we need a common denominator. The common denominator of 9 and 3 is 9, so we can rewrite the fractions with 9 as the denominator:

4/9 = (4/9) x (3/3) = 12/27
1/3 = (1/3) x (9/9) = 9/27

Now we can subtract the fractions:

12/27 - 9/27 = 3/27 = 1/9

Combining the whole numbers and the fraction together, we get:

-7 1/9

Therefore, the value of the expression is option B, -7 1/9.

Answer 2

7.4 − (−3.7)

Answer 3

To subtract a negative number, you can think of it as adding the opposite.

So, 7.4 - (-3.7) can be rewritten as 7.4 + 3.7.

Adding 7.4 and 3.7, we get:

7.4 + 3.7 = 11.1

Therefore, the value of the expression 7.4 - (-3.7) is 11.1.

Answer 4

What is 4−1 1/4+1/2

Answer 5

To simplify the expression, we need to first convert the mixed number 1 1/4 to an improper fraction.

1 1/4 = (4 * 1 + 1) / 4 = 5/4

Now we can rewrite the expression:

4 - 5/4 + 1/2

To add or subtract fractions, we need to have a common denominator. The common denominator of 4 and 2 is 4, so we can rewrite the fractions with 4 as the denominator:

4 = 16/4
5/4 (already in terms of 4)
1/2 = (1/2) x (2/2) = 2/4

Rewriting the expression with a common denominator, we get:

16/4 - 5/4 + 2/4

Now we can subtract the fractions:

16/4 - 5/4 + 2/4 = (16 - 5 + 2)/4 = 13/4

The simplified expression is 13/4.

However, we can still simplify the fraction further. Notice that 13 is a prime number, and 13/4 cannot be simplified any further.

Therefore, the value of the expression 4 - 1 1/4 + 1/2 is 13/4.