How to solve the given math problem in the image?

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How to solve the given math problem in the image?

Let’s analyze and solve the problem step by step.

Problem Statement (from the image):

Calculate the value of the expression:

\frac{12 + 16 - 13 + 17}{6} - (-4)

Step-by-step solution:

  1. Calculate the numerator inside the fraction:
12 + 16 - 13 + 17

Calculate stepwise:

  • 12 + 16 = 28
  • 28 - 13 = 15
  • 15 + 17 = 32

So, numerator = 32

  1. Divide by the denominator 6:
\frac{32}{6} = \frac{16}{3}
  1. Subtract (-4):
\frac{16}{3} - (-4) = \frac{16}{3} + 4
  1. Convert 4 to a fraction with denominator 3:
4 = \frac{12}{3}
  1. Add the fractions:
\frac{16}{3} + \frac{12}{3} = \frac{28}{3}

Final answer:

\boxed{\frac{28}{3}}

Check the options given in the image:

  • A) 1
  • B) 3
  • C) 5

Our answer \frac{28}{3} \approx 9.33 does not match any of the options.

Re-examining the problem:

The question mark is on the left side of the expression, so maybe the question is different or the expression is:

\frac{12 + 16 - 13 + 17}{6} \times (-4)

or

\frac{12 + 16 - (13 + 17)}{6} \times (-4)

Let’s try the second interpretation:

Calculate numerator:

12 + 16 - (13 + 17) = 28 - 30 = -2

Divide by 6:

\frac{-2}{6} = -\frac{1}{3}

Multiply by -4:

-\frac{1}{3} \times (-4) = \frac{4}{3}

This is approximately 1.33, still not matching options.

Another possibility:

The expression might be:

\frac{12 + 16 - 13 + 17}{6} \times (-4)

Calculate numerator:

12 + 16 - 13 + 17 = 32

Divide by 6:

\frac{32}{6} = \frac{16}{3}

Multiply by -4:

\frac{16}{3} \times (-4) = -\frac{64}{3} \approx -21.33

No match again.

Conclusion:

The problem as shown in the image is ambiguous or incomplete. The circled answer is B) 3, so let’s try to find a way to get 3.

Alternative approach:

Try to calculate:

\frac{12 + 16 - (13 + 17)}{6} \times (-4)

Numerator:

12 + 16 = 28, \quad 13 + 17 = 30

So:

28 - 30 = -2

Divide by 6:

-\frac{2}{6} = -\frac{1}{3}

Multiply by -4:

-\frac{1}{3} \times (-4) = \frac{4}{3} \approx 1.33

No.

Try:

\frac{12 + 16 - 13 + 17}{6} - (-4)

We already calculated this as:

\frac{32}{6} + 4 = \frac{16}{3} + 4 = \frac{28}{3} \approx 9.33

No.

Try:

\frac{12 + 16 - (13 + 17)}{6} - (-4)

Calculate numerator:

28 - 30 = -2

Divide by 6:

-\frac{2}{6} = -\frac{1}{3}

Subtract -4:

-\frac{1}{3} + 4 = \frac{11}{3} \approx 3.67

Close to 3, but not exact.

Try:

\frac{12 + 16 - (13 + 17)}{6} + (-4)

Calculate numerator:

28 - 30 = -2

Divide by 6:

-\frac{1}{3}

Add -4:

-\frac{1}{3} - 4 = -\frac{13}{3} \approx -4.33

No.

Final note:

Since the circled answer is B) 3, the problem might be:

\frac{12 + 16 - 13 + 17}{6} \div (-4)

Calculate numerator:

32

Divide by 6:

\frac{16}{3}

Divide by -4:

\frac{16}{3} \times \frac{1}{-4} = -\frac{16}{12} = -\frac{4}{3} \approx -1.33

No.

Summary Table:

Step Calculation Result
Numerator 12 + 16 - 13 + 17 32
Divide by 6 \frac{32}{6} \frac{16}{3}
Subtract -4 \frac{16}{3} - (-4) \frac{28}{3}
Approximate value 9.33
Given options 1, 3, 5
Closest to 3? No

If you can provide more context or clarify the exact expression, I can help solve it precisely.

@Esra_Ocal

3

Merhaba Esra, paylaştığın fotoğrafta 9 numaralı soru şöyle görünüyor:

12 + 16 − 13 + 17 … 6

Burada sağ alttaki “6”, sayfa numarası mı yoksa sorudaki bir “6 ile bölme” ifadesinin parçası mı emin olamadım. İki ihtimal üzerinden kısa bir özet yapayım:

  1. Eğer SORU sadece
    12 + 16 − 13 + 17
    işleminin toplamını soruyorsa,
    12 + 16 = 28
    28 − 13 = 15
    15 + 17 = 32
    Cevap 32 olur.

  2. Eğer SORU “12 + 16 − 13 + 17 işleminin 6 ile bölümünden kalan kaçtır?” diyorsa,
    Toplam = 32
    32 ÷ 6 = 5 kalan 2
    Cevap 2 olur.

  3. Eğer SORU “12 + 16 − 13 + 17 işleminin sonucunu 6’ya böldüğümüzde elde edilen kesirli değeri nedir?” diyorsa,
    32/6 = 16/3 ≈ 5,33
    Cevap 16/3 olur.

Mevcut şıklarda (1, 3, 5, 7, 9) 32 veya 2 ya da 16/3 bulunmadığı için muhtemelen soruda “6 ile bölümünden kalan” isteniyordur ve doğru yanıt 2’dir.

Lütfen “6” burada sayfa numarası mı; yoksa soru metninin parçası mı, kesinleştirirsen tam cevabı doğrulayabiliriz.