निम्नलिखित में x ज्ञात कीजिए:

\(6\frac{7}{15}+x=8\frac{3}{5}\)

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  1. \(2\frac{3}{15}\)
  2. \(6\frac{3}{5}\)
  3. \(5\frac{4}{5}\)
  4. \(2\frac{2}{15}\)

Answer (Detailed Solution Below)

Option 4 : \(2\frac{2}{15}\)
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Detailed Solution

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दिया गया है:

6 7/15 + x = 8 3/5

प्रयुक्त सूत्र:

x = RHS − LHS

मिश्रित संख्याओं को अनुचित भिन्नों में बदलें

गणना:

6 (7/15) = (6 × 15 + 7)/15 = 97/15

8 (3/5) = (8 × 5 + 3)/5 = 43/5

⇒ x = 43/5 − 97/15

5 और 15 का LCM = 15

⇒ x = (43 × 3)/15 − 97/15

⇒ x = 129/15 − 97/15

⇒ x = (129 − 97)/15 = 32/15

⇒ x = \(2\frac{2}{15}\)

\(2\frac{2}{15}\)

∴ सही उत्तर \(2\frac{2}{15}\) है। 

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