Question

You're given the rational number 46/224. You can choose to add 10 to the numerator or add 10 to the denominator. Which option will give you a larger final number?

Answer 1

Therefore, adding 10 to the numerator is the better option if we want to increase the value of 46/224.

Explanation:

To find which option will give a larger final number, we should calculate both the possibilities and compare them ,

Firstly,add 10 to the numerator

Now,

The new rational number will be,

(46 + 10) / 224

= 56 / 224

= 7 / 28

2ndly,

Add 10 to the denominator

The new rational number will be,

46 / (224 + 10)

= 46 / 234

After comparing these two rational numbers and converting them to decimals or simplify them ,

7 / 28

= 0.25

46 / 234

= 0.196581...

Since 0.25 is larger than 0.196581...,

Now,adding 10 to the numerator will result in a larger final number.

Therefore, adding 10 to the numerator is the better option if we want to increase the value of 46/224.

Answer 2

The answer is to add 10 to the numerator.
Adding to the numerator will always increase the final number, adding to the denominator will decrease.
Here’s an example:
1/2, which is 0.5
If you add 5 to the numerator, it will be 6/2, or 3/1, which is 3. If you add 5 to the denominator, it will be 1/7, which is 0.143.
Hope this helped!