Question

Which steps should be used to compare the fractions StartFraction 2 Over 9 EndFraction and StartFraction 5 Over 6 EndFraction?

Find a common numerator.
Add the numerators and denominators to determine which sum is larger.
Use the “greater than” symbol to show which denominator is larger.
Multiply the first fraction by StartFraction 2 Over 2 EndFraction and the second fraction by StartFraction 3 Over 3 EndFraction

Answer 1

\[\frac{ 2 }{ 9 } and \frac{ 5 }{ 6 }\]

Answer 2

@supie

Answer 3

Using process of elimination:

Find a common numerator. ---> incorrect. when you're comparing fractions, you need to find a common **denominator**

Add the numerators and denominators to determine which sum is larger. ---> incorrect. you cannot add numerators and denominators together. they represent different things.

Use the “greater than” symbol to show which denominator is larger. ---> incorrect. you cannot simply compare denominators. you need to convert both to the same denominator first, then compare the **numerators**

by process of elimination: Multiply the first fraction by 2/2 and the second fraction by 3/3. to confirm this, notice how these steps convert both denominators to 18 for easy comparison.