Question

what should be added to 2 3/11 to get 5 4/9​

Answer 1

Answer:

314/99

Step-by-step explanation:

First, convert it to fraction

• 2 3/11 = 25/11
• 5 4/9 = 49/9

Now, LCM of 11 and 9= 99

Convert the denominator to 99

• 25/11= 225/99
• 49/9= 539/99

Subtract,

• (539-225)/99
• 314/99

Answer 2

SOLUTION

TO DETERMINE

$\displaystyle \sf{The \: number \: should \: be \: added \: to \: 2 \frac{3}{11} \: to \: get \: 5 \frac{4}{9} }$

EVALUATION

Here

$\displaystyle \sf{2 \frac{3}{11} = \frac{25}{11} }$

$\displaystyle \sf{5 \frac{4}{9} = \frac{49}{9} }$

Let x be the number to be added

So by the given condition

$\displaystyle \sf{x + \frac{25}{11} = \frac{49}{9} }$

$\displaystyle \sf{ \implies \: x = \frac{49}{9} - \frac{25}{11} }$

$\displaystyle \sf{ \implies \: x = \frac{539 - 225}{99} }$

$\displaystyle \sf{ \implies \: x = \frac{314}{99} }$

FINAL ANSWER

The required number is

$\displaystyle \sf{ \frac{314}{99} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Out of the following which are proper fractional numbers?

(i)3/2

(ii)2/5

(iii)1/7

(iv)8/3

https://brainly.in/question/4865271

2. sum of rational numbers whose absolute value is 7/3

https://brainly.in/question/30899277