Consider this expression:

1 over 4 − 0.5 + 1 over 2 − 0.25 + 3 over 5 + 0.4

You are asked to find the sum by using fractions. Which expression could you use?

1 over 4 − 1 over 2 + 1 over 2 − 1 over 4 + 3 over 5 + 2 over 5

1 over 4 − 1 over 4 + 1 over 2 − 1 over 4+ 3 over 5+ 2 over 5

1 over 4 − 1 over 2 + 1 over 2 − 1 over 4+ 4 over 5 + 2 over 5

1 over 4− 1 over 2 − 1 over 2 − 1 over 4+ 3 over 5 + 2 over 5

The correct expression to find the sum using fractions is:

1 over 4 − 1 over 2 + 1 over 2 − 1 over 4 + 3 over 5 + 2 over 5

Okay thank you can you Find the sum.

To find the sum of the given expression using fractions:

1 over 4 − 1 over 2 + 1 over 2 − 1 over 4 + 3 over 5 + 2 over 5

First, combine the fractions with the same denominators:

1 over 4 − 1 over 4 + 1 over 2 − 1 over 2 + 3 over 5 + 2 over 5

This simplifies to:

0 + 0 + 0 + 0 + 3 over 5 + 2 over 5

Finally, combine the remaining fractions:

3 over 5 + 2 over 5 = (3 + 2) over 5 = 5 over 5 = 1

Therefore, the sum of the given expression is 1.

sorry i mean the sum of 1 over 4 − 0.5 + 1 over 2 − 0.25 + 3 over 5 + 0.4

To find the sum of the given expression using fractions:

1 over 4 − 0.5 + 1 over 2 − 0.25 + 3 over 5 + 0.4

First, convert the decimal numbers to fractions:

0.5 can be written as 1/2
0.25 can be written as 1/4
0.4 can be written as 2/5

Now, rewrite the expression with fractions:

1 over 4 − 1 over 2 + 1 over 2 − 1 over 4 + 3 over 5 + 2 over 5

Combine the fractions:

(1 over 4 - 1 over 4) + (1 over 2 + 1 over 2) + (3 over 5 + 2 over 5)

Simplify:

0 + 1 + 5 over 5

The sum is 1.

Determine the value of the expression –5.45 + 4.12 –8.66.

To determine the value of the expression –5.45 + 4.12 –8.66, you simply need to add and subtract these numbers:

-5.45 + 4.12 - 8.66

= (-5.45 + 4.12) - 8.66

= -1.33 - 8.66

= -10.99

Therefore, the value of the expression –5.45 + 4.12 –8.66 is -10.99.

your answer makes sense but my options are

A -9.99
B 18.23
C –0.91
D –2.99

Apologies for the confusion. Let's reevaluate the expression:

-5.45 + 4.12 - 8.66

Combining the numbers, we have:

-9.01 + 4.12

= -4.89

Therefore, the correct choice from the given options is:

D) –4.89

To find the sum of the given expression using fractions, we need to simplify each fraction and then add them together.

Let's simplify the fractions in each expression:

1. 1 over 4 − 1 over 2 + 1 over 2 − 1 over 4 + 3 over 5 + 2 over 5:

- Combining the fractions with the same denominator, we have:
(1/4 - 1/4) + (1/2 - 1/2) + 3/5 + 2/5
Which simplifies to:
0 + 0 + 3/5 + 2/5
Simplifying further, the sum is:
5/5
Which is equivalent to:
1

2. 1 over 4 − 1 over 4 + 1 over 2 − 1 over 4+ 3 over 5+ 2 over 5:

- Combining the fractions with the same denominator, we have:
(1/4 - 1/4) + (1/2 - 1/4) + 3/5 + 2/5
Which simplifies to:
0 + 1/4 + 3/5 + 2/5
Let's find a common denominator for these fractions, which is 20:
0 + (5/20) + (12/20) + (8/20)
Combining the fractions, we have:
(5 + 12 + 8)/20
Simplifying further, the sum is:
25/20
Which can be reduced to:
5/4

3. 1 over 4 − 1 over 2 + 1 over 2 − 1 over 4+ 4 over 5 + 2 over 5:

- Combining the fractions with the same denominator, we have:
(1/4 - 1/4) + (1/2 - 1/4) + 4/5 + 2/5
Which simplifies to:
0 + 1/4 + 6/10
Let's find a common denominator for these fractions, which is 20:
0 + (5/20) + (12/20)
Combining the fractions, we have:
(5 + 12)/20
Simplifying further, the sum is:
17/20

4. 1 over 4 − 1 over 2 − 1 over 2 − 1 over 4+ 3 over 5 + 2 over 5:

- Combining the fractions with the same denominator, we have:
(1/4 - 1/4) - (1/2 + 1/2) + 3/5 + 2/5
Which simplifies to:
0 - 1/2 + 3/5 + 2/5
Let's find a common denominator for these fractions, which is 10:
0 - (5/10) + (6/10) + (4/10)
Combining the fractions, we have:
(6 - 5 + 4)/10
Simplifying further, the sum is:
5/10
Which can be reduced to:
1/2

Therefore, the correct expression that gives the sum of the given expression using fractions is:

1 over 4 − 1 over 2 + 1 over 2 − 1 over 4 + 3 over 5 + 2 over 5