simplify 7 2/3 = -5 1/4

Answer 1

To simplify the given equation, we need to convert both mixed numbers to improper fractions, find a common denominator, and then combine the fractions.

To convert 7 2/3 to an improper fraction:
7 looks like this: 7/1
So, 7 2/3 would become: (7 × 3 + 2)/3 = 23/3

To convert -5 1/4 to an improper fraction:
-5 looks like this: -5/1
So, -5 1/4 would become: (-5 × 4 + 1)/4 = -19/4

Now, we have: 23/3 = -19/4

To find a common denominator between 3 and 4, we multiply them together: 3 × 4 = 12

Now, we can rewrite the equation with a common denominator:
(23/3) × (4/4) = (-19/4)

Multiplying the numerators and the denominators:
(23 × 4)/(3 × 4) = (-19 × 3)/(4 × 3)
92/12 = -57/12

Therefore, the simplified equation is: 92/12 = -57/12

Answer 2

simplify 7 2/3 + -5 1/4

Answer 3

To simplify the given equation, we need to convert both mixed numbers to improper fractions, find a common denominator, and then add the fractions.

To convert 7 2/3 to an improper fraction:
7 looks like this: 7/1
So, 7 2/3 would become: (7 × 3 + 2)/3 = 23/3

To convert -5 1/4 to an improper fraction:
-5 looks like this: -5/1
So, -5 1/4 would become: (-5 × 4 + 1)/4 = -19/4

Now, we have: 23/3 + (-19/4)

To find a common denominator between 3 and 4, we multiply them together: 3 × 4 = 12

Now, we can rewrite the equation with a common denominator:
(23/3) × (4/4) + (-19/4) = (23 × 4)/(3 × 4) + (-19/4)

Multiplying the numerators and the denominators:
(23 × 4)/(3 × 4) + (-19/4) = 92/12 + (-19/4)

To add the fractions, we need to have a common denominator of 12:
(92/12) + (-19/4) = (92/12) * (1/1) + (-19/4) * (3/3) = (92/12) * (3/3) + (-19/4) * (3/3)

Multiplying the fractions:

(92 × 3)/(12 × 3) + (-19 × 3)/(4 × 3) = 276/36 + (-57/12)

Now, we can add the fractions with a common denominator of 36:
276/36 + (-57/12) = (276 + (-57))/36 = 219/36

Therefore, the simplified equation is: 7 2/3 + -5 1/4 = 219/36

Answer 4

simplify

Answer 5

I apologize, but you haven't provided a specific expression or equation to simplify. Please provide the expression or equation you would like to simplify.

Answer 6

ok here give me answer from this simplify 7 2/3 + - 5 1/4

A.2-
B.2 5/12
C. 2 11/12
D. 12 11/12

Answer 7

To simplify 7 2/3 + (-5 1/4), we need to convert the mixed numbers to improper fractions and then find a common denominator.

To convert 7 2/3 to an improper fraction:
7 * 3 = 21 + 2 = 23
The improper fraction form of 7 2/3 is 23/3.

To convert -5 1/4 to an improper fraction:
-5 * 4 = -20 + 1 = -19
The improper fraction form of -5 1/4 is -19/4.

Next, we find a common denominator, which is 12 (the least common multiple of 3 and 4).

The fractions now become:
23/3 + (-19/4)

To find a common denominator of 12, we rewrite the fractions:
(23/3) * (4/4) + (-19/4)

Multiplying the numerators and the denominators:
(23 * 4)/(3 * 4) + (-19/4) = 92/12 + (-19/4)

To add the fractions, we need to have a common denominator of 12. Since -19 has a denominator of 4, we multiply it by 3/3 to get a common denominator of 12:
92/12 + (-19/4) * (3/3) = 92/12 + (-57/12)

Now we can add the fractions:
92/12 + (-57/12) = (92 + (-57))/12 = 35/12

Therefore, the simplified result of 7 2/3 + (-5 1/4) is 35/12.

Thus, the correct answer is not among the options provided.

Answer 8

give me the answer off the choices i gave you

Answer 9

Apologies for the confusion. Let's evaluate the expression 7 2/3 + -5 1/4 using the provided choices:

A. 2-
B. 2 5/12
C. 2 11/12
D. 12 11/12

To simplify, we'll follow the steps mentioned earlier:

Converting 7 2/3 to an improper fraction:
7 * 3 = 21 + 2 = 23
The improper fraction form of 7 2/3 is 23/3.

Converting -5 1/4 to an improper fraction:
-5 * 4 = -20 + 1 = -19
The improper fraction form of -5 1/4 is -19/4.

Now we need to find a common denominator, which is 12 (the least common multiple of 3 and 4).

Rewriting the fractions with a common denominator of 12:
(23/3) * (4/4) + (-19/4) = 92/12 + (-19/4)

To add the fractions, we need a common denominator of 12. Since -19 has a denominator of 4, we multiply it by 3/3 to get a common denominator of 12:
92/12 + (-19/4) * (3/3) = 92/12 + (-57/12)

Combining the fractions:
92/12 + (-57/12) = (92 + (-57))/12 = 35/12

Therefore, the simplified result of 7 2/3 + (-5 1/4) is 35/12.

Among the given choices, the closest option to the simplified answer is:

B. 2 5/12

Please note that while the given options don't exactly match the simplified answer, option B is the closest choice.