Question

The sum of the two fraction is 5 3/9 . If one of the fraction is 2 3/4, find the other fraction?

Answer 1

Answer:

The required fraction is= 10/3

Step-by-step explanation:

Sum of the two fractions is=53/9

One of the fraction is=23/4

.`.Other number=53/9 -23/4

=212 - 92/36

=120/36

=10/3

Answer 2

The other fraction is $2\dfrac{7}{12}$.

Step-by-step explanation:

Given,

The sum of the two fraction = $5\dfrac{3}{9}=\dfrac{9\times 5+3}{9}=\dfrac{48}{9}$ and

One of the fraction $=2\dfrac{3}{4}=\dfrac{4\times 2+3}{4}=\dfrac{11}{4}$

Let the other fraction = x

To find, the other fraction = ?

According to question,

$\dfrac{11}{4}+x=\dfrac{48}{9}$

⇒ $x=\dfrac{16}{3}-\dfrac{11}{4}$

Taking the LCM of 3 and 4 = 12

⇒ $x=\dfrac{64-33}{12}$

⇒ $x=\dfrac{31}{12}$

⇒ x = $2\dfrac{7}{12}$

∴ The other fraction = $2\dfrac{7}{12}$

Thus, the other fraction is $2\dfrac{7}{12}$.