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7.8 = 7+ 8/?. Which number should replace the ? to make it true?
  • a)
    1
  • b)
    8
  • c)
    10
  • d)
    100
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
7.8 = 7+ 8/?.Which number should replace the ? to make it true?a)1b)8c...
Solution:
To make the given equation true, we need to express the mixed number 7 8/? as an improper fraction and then multiply the denominator of the fraction with 7 and add the numerator to get the equivalent fraction of 7.8.

Let's convert 7 8/? to an improper fraction:
7 8/? = (7 × ? + 8)/? = (7? + 8)/?

Now, we need to find the value of ? such that (7? + 8)/? = 7.8

Multiplying both sides by ?, we get:
7? + 8 = 7.8 × ?
7? = 7.8 × ? - 8
? = (7.8 × ? - 8)/7

Now, we can try each option given in the answer choices to find the value of ? that satisfies the equation.

a) ? = 1
(7.8 × 1 - 8)/7 = -0.2/7 ≠ 1

b) ? = 8
(7.8 × 8 - 8)/7 = 54.4/7 ≠ 8

c) ? = 10
(7.8 × 10 - 8)/7 = 70/7 = 10

d) ? = 100
(7.8 × 100 - 8)/7 = 772/7 ≠ 100

Therefore, the correct answer is option 'C' i.e. 10.
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7.8 = 7+ 8/?.Which number should replace the ? to make it true?a)1b)8c...
10 is the answer
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