Question

The dominator of a fraction is 3 more than the numerator. If 5 is added to both parts, the resulting fraction is equivalent to 4/5. Find the fraction​

Answer 1

Step-by-step explanation:

Let the numerator be x

Then, the denominator will be x+3

ATQ

x+5/x+3+5=4/5

x+5/x+8=4/5

5 (x+5)=4 (x+8)

5x+25=4x+32

5x-4x=32-25

x=7

The fraction is 7/10

Answer 2

Answer:

Given:

• The dominator of a fraction is 3 more than the numerator. If 5 is added to both parts, the resulting fraction is equivalent to 4/5.

Find:

• Find the fraction.

Calculations:

• Let the assume "x" as numerator and "x+3" as denominator.

According to the question, we have different cases, we can do as per the cases.

→ $\sf{\dfrac{x + 5}{x + 8} = \dfrac{4}{5}}$

→ $\sf{5x + 25 = 4x + 32}$

→ ${\sf{\underline{\boxed{\red{\sf{x = 7}}}}}}$

Now, as per the first case the dominator of a fraction is 3 more than the numerator.

→ $\sf{x + 3 = 7 + 3}$

→ ${\sf{\underline{\boxed{\red{\sf{x + 3 = 10}}}}}}$

You know that according to the question we have to find the fraction, writing in the form of p/q.

→ Numerator = 7

→ Denominator = 10

→ $\bf{\boxed{\boxed{\boxed{\bf{Fraction = \dfrac{7}{10}}}}}}$