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Activity Discussion Math Fractions

• # Fractions

Posted by on June 24, 2023 at 12:52 pm

The denominator is 5 greater than the numerator. If the sum of the numerator and the denominator is 13, find the fraction.

replied 3 months, 1 week ago 4 Members · 4 Replies
• 4 Replies
• ### Suryansh

Member
June 24, 2023 at 1:01 pm
0

Let’s solve the problem step by step. We’re given that the denominator is 5 greater than the numerator, and the sum of the numerator and the denominator is 13. We’ll use algebraic equations to represent the given information and find the fraction.

Let’s assume the numerator of the fraction is represented by ‘x’. Since the denominator is 5 greater than the numerator, we can express it as ‘x + 5’.

According to the problem, the sum of the numerator and the denominator is 13. This can be written as an equation:

x + (x + 5) = 13.

Simplifying the equation, we combine like terms:

2x + 5 = 13.

Next, we isolate the term with ‘x’ by subtracting 5 from both sides of the equation:

2x = 13 – 5,

2x = 8.

To solve for ‘x’, we divide both sides of the equation by 2:

x = 8 / 2,

x = 4.

We have found that the numerator, ‘x’, is equal to 4. To find the denominator, we substitute this value back into the expression ‘x + 5’:

Denominator = 4 + 5,

Denominator = 9.

Therefore, the fraction is 4/9.

In conclusion, when the numerator is 4 and the denominator is 9, the fraction is 4/9.

• ### Rachna

Member
June 24, 2023 at 1:32 pm
0

Given: Denominator is 5 greater than numerator. sum of numerator and denominator is 13

Solution: Let the numerator is x.

So, Denominator will be x + 5

According to question,

Numerator + Denominator= 13

x + (x + 5) = 13

2x + 5 = 13

2x = 13 – 5

2x = 8

x = 8/2

x = 4

Numerator is 4 and denominator is 9 i.e. (4 + 5).

• ### Aanya

Member
June 24, 2023 at 5:32 pm
• ### Suryansh

Member
June 24, 2023 at 5:33 pm