Question

3 ½ + 4 ¾

please answer it​

Answer 1

Answer:

Let the numerator =x

and the denominator =y

So, the fraction =

y

x

According to the question,

Condition I:

y

x−1

=

3

1

⇒3(x−1)=y

⇒3x−y=y

⇒3x−y−3=0 ..(i)

Condition II:

y+8

x

=

4

1

⇒4x=y+8

⇒4x−y=8

⇒4x−y−8=0...(ii)

By cross-multiplication method, we have

⇒

8−3

x

=

−12+24

y

=

−3+4

1

⇒

5

x

=

12

y

=

1

1

I II III

On taking I and III ratio, we get

⇒

5

x

=

1

1

⇒x=5

On taking II and III ratio, we get

⇒

12

y

=

1

1

⇒y=12

So, the numerator is 5 and the denominator is 12

Hence, the fraction is

12

5

Answer 2

Answer:

8 ¼

Step-by-step explanation:

3 ½ + 4 ¾ = 7/2 + 19/4

= 14+19/ 2

= 33/4

= 8 ¼