Question : If $\frac{a}{b} = \frac{7}{6}$, find the value of the expression $\frac{6a + 13b}{6a – 13b}$.
Option 1: $–\frac{3}{10}$
Option 2: $\frac{10}{3}$
Option 3: $–\frac{10}{3}$
Option 4: $\frac{3}{10}$

Question

Question : If $\frac{a}{b} = \frac{7}{6}$, find the value of the expression $\frac{6a + 13b}{6a – 13b}$.

Option 1: $–\frac{3}{10}$

Option 2: $\frac{10}{3}$

Option 3: $–\frac{10}{3}$

Option 4: $\frac{3}{10}$

Team Careers360 · Accepted Answer

Correct Answer: $–\frac{10}{3}$

Solution : Given: $\frac{a}{b} = \frac{7}{6}$
$\frac{6a + 13b}{6a – 13b}$
Divide the numerator and denominator of the above expression by b.
$=\frac{6 imes\frac{a}{b} +13}{6 imes\frac{a}{b} – 13 }$
Substitute the value of $\frac{a}{b} = \frac{7}{6}$ in the expression.
$=\frac{6 imes\frac{7}{6} + 13 }{6 imes\frac{7}{6} – 13 }$
$=\frac{7+13 }{7 – 13 }$
$= –\frac{10}{3 }$
Hence, the correct answer is $–\frac{10}{3 }$.

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Question : If ab=76, find the value of the expression 6a+13b6a–13b.Option 1: –310Option 2: 103Option 3: –103Option 4: 310

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Question : If $\frac{a}{b} = \frac{7}{6}$ , find the value of the expression $\frac{6 a + 13 b}{6 a - 13 b}$ .
Option 1: $- \frac{3}{10}$
Option 2: $\frac{10}{3}$
Option 3: $- \frac{10}{3}$
Option 4: $\frac{3}{10}$