Question
Download Solution PDFFind x in the following:
\(6\frac{7}{15}+x=8\frac{3}{5}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
6 7/15 + x = 8 3/5
Formula used:
x = RHS − LHS
Convert mixed numbers to improper fractions
Calculation:
6 (7/15) = (6 × 15 + 7)/15 = 97/15
8 (3/5) = (8 × 5 + 3)/5 = 43/5
⇒ x = 43/5 − 97/15
LCM of 5 and 15 = 15
⇒ x = (43 × 3)/15 − 97/15
⇒ x = 129/15 − 97/15
⇒ x = (129 − 97)/15 = 32/15
⇒ x = \(2\frac{2}{15}\)
∴ The correct answer is \(2\frac{2}{15}\)
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