Question

What number must be added to the numerator and denominator of the fraction 5/12 to make it equal to 2/3?
(From Linear Equations). ​

Answer 1

Question

What number must be added to the numerator and denominator of the fraction 5/12 to make it equal to 2/3?

(From Linear Equations). ​

Answer:

ANSWER IS $\frac{1}{4}$

Explanation

$\frac{5}{12} + X=\frac{2}{3}\\\\X=\frac{2}{3} -\frac{5}{12} \\\\X=\frac{8-5}{12} \\\\X=\frac{3}{12} \\\\\X=\frac{1}{4}$

Step-by-step explanation:

Given

the number that need to be added to $\frac{5}{12}$ to make it as $\frac{2}{3}$

Step-by-step explanation:

Lets covert that  into equation

$\frac{5}{12}+X=\frac{2}{3}$

Now solve it

lets transpose $\frac{5}{12}$ from LHS to RHS. When its getting transposed to RHS from LHS then its sign becomes opposite ( if its sign is + when its at LHS then it changes to - sign at RHS)

so

$X = \frac{2}{3} - \frac{5}{12}$

Now lets take 12 as LCM

so

$X=\frac{8-5}{12}$

$X=\frac{3}{12} \\\\X=\frac{1}{4}$

So the number that need to be added to $\frac{5}{12}$ to make it as $\frac{2}{3}$ is$\frac{1}{4}$

YOUR ANSWER IS $\frac{1}{4}$

Further reference

https://brainly.in/question/21954369