Question

The numerator of a fraction is
smaller than the denominator by 7. If
1 is added to the numerator and 1 is
subtracted from the denominator
then the new fraction is 6/5. Find
denominator of the fraction.
1) 11
2 )16
3) 9
4 )can't say for sure​

Answer 1

Solution:

Given that:

• The numerator of a fraction is smaller than the denominator by 7.
• 1 is added to the numerator and 1 is subtracted from the denominator then the new fraction is 6/5.

To Find:

• Denominator of the fraction.

Let us assume:

• Denominator of the fraction be x.
• Numerator of the fraction = x - 7

When 1 is added to the numerator and 1 is subtracted from the denominator:

• Denominator = x - 1
• Numerator = x - 7 + 1

Finding the denominator of the fraction:

According to the question.

⟶ (x - 7 + 1)/(x - 1) = 6/5

⟶ (x - 6)/(x - 1) = 6/5

Cross multiplication.

⟶ 5(x - 6) = 6(x - 1)

⟶ 5x - 30 = 6x - 6

⟶ 6x - 5x = - 30 + 6

⟶ x = - 24

∴ Denominator of the fraction = x = - 24

Hence,

• The correct option is: 4 ) can't say for sure.

Answer 2

Answer:

• Denominator = -24
• 4) Can't say for sure

Step-by-step explanation:

Given

• Numerator of a fraction is smaller than the denominator by 7. If 1 is added to the numerator and 1 is subtracted from the denominator, then the new fraction is 6/5.

To find

• Denominator of the fraction.

Solution

Let the denominator of the fraction be x, the ATP the numerator will be smaller than the denominator by 7, that is x - 7.

Accordingly, 1 is added to the numerator and 1 is subtracted from the denominator, to obtain the fraction 6/5.

➝ x - 1 is the denominator

➝ x - 7 + 1 is the numerator

➝ x - 6 is the numerator

⇛ Numerator/Denominator = 6/5

➝ (x - 6)/(x - 1) = 6/5

➝ 5(x - 6) = 6(x - 1)

➝ 5x - 30 = 6x - 6

➝ 5x - 6x = - 6 + 30

➝ -x = 24

➝ x = -24

∴ Denominator of the fraction is -24 which is not in the options.