Question

12. The denominator of a fraction is one less than twice its numerator. If the numerator is decreased by 3, it becomes 1/7​

Answer 1

Answer:

4/7

NOTE im not very sure sorry good luck

Answer 2

• Numerator = 5
• Denominator = 9
• Fraction = 5/9

Step-by-step explanation:

$\sf \large \purple{Given}$

• The denominator of fraction is 1 less than twice its numerator .
• If the numerator is decreased by 3 then fraction becomes ⅐ .

$\\ \sf \large \purple{To \: find}$

• Numerator and Denominator of the fraction.

$\\ \sf \large \purple{Solution}$

• Let Numerator of the fraction = x .

and denominator is 1 less than twice its numerator. then,

• Denominator = 2x – 1 .

So, Fraction = $\sf \: \dfrac{x}{2x - 1}$

Now, if Numerator is decreased by 3 then fraction becomes ⅐ .

$\\ \sf \: \dfrac{x - 3}{2x - 1} = \dfrac{1}{7} \\ \\ ::\implies\sf \: 7x - 21 = 2x - 1 \\ \\ ::\implies\sf 7x - 2x = - 1 + 21 \\ \\ ::\implies\sf \: 5x = 20 \\ \\ ::\implies \sf \: x = \frac{20}{5} \\ \\ ::\implies \boxed{ \sf x = 5}$

So, Numerator of the fraction = 5

Hence, denominator = 2x – 1

= 2 × 5 – 1

= 10 – 1

= 9

So, Denominator of the fraction = 9

$\\ \sf \: hence, \: fraction \: = \dfrac{5}{9}$