Question

If a/b=5/6, then find the value of 5a- 2b/6a+2b.​

Answer 1

Answer:

a/b = 5/6

a = 5b/6

5a- 2b/6a+2b = 5b/6 - 2b / 6(5b/6)+2b

= -7b/6 / 7b

= -7b/42b

= -1/6

Answer 2

Answer:

The value of $\frac{5a -2b}{6a+2b} = \frac{13}{42}$

Step-by-step explanation:

Given,

The value of $\frac{a}{b} = \frac{5}{6}$

To find,

The value of$\frac{5a - 2b}{6a+2b}$

Solution:

To find the value of  $\frac{5a - 2b}{6a+2b}$,

The numerator = 5a -2b

Multiplying and  dividing the numerator by 'b', we get

$b(\frac{5a -2b}{b})$  = $b(5\frac{a}{b} - 2)$

= $b(5X\frac{5}{6} - 2)$

= $b(\frac{25}{6} - 2)$

= $b(\frac{25 -12}{6} )$

= $b(\frac{13}{6} )$

= $\frac{13b}{6}$

5a - 2b= $\frac{13b}{6}$

The denominator = 6a+2b

Multiplying and  dividing the numerator by 'b', we get

$b(\frac{6a+2b}{b})$  = $b(6\frac{a}{b} + 2)$

= $b(6X\frac{5}{6} + 2)$

= b(5+2)

= 7b

6a+2b = 7b

Substituting the values of 5a - 2b and 6a+2b we get,

$\frac{5a - 2b}{6a+2b} = \frac{\frac{13b}{6} }{7b}$

= $\frac{13b}{42b}$

= $\frac{13}{42}$

Hence, the value of$\frac{5a -2b}{6a+2b} = \frac{13}{42}$

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