Answer:
The symbol we can be used is " > "
Step-by-step explanation:
To compare two fractions you must make their denominator equal
Example:
To compare the fractions [tex]\frac{3}{4}[/tex] and [tex]\frac{7}{50}[/tex] ,
- You should make their denominators equal.
- Multiply 4 by 25 to get 100 and multiply 50 by 2 to get 100,
- So, [tex]\frac{3*25}{4*25}=\frac{75}{100}[/tex] and [tex]\frac{7*2}{50*2}=\frac{14}{100}[/tex].
- Since 75 > 14, then [tex]\frac{75}{100}>\frac{14}{100}[/tex] ,
- Which means [tex]\frac{3}{4}>\frac{7}{50}[/tex]
Let us solve the question
∵ The fractions are [tex]\frac{2}{5}[/tex] and [tex]\frac{35}{100}[/tex]
→ Change denominator 5 to 100 by multiplying it by 20
∵ [tex]\frac{2}{5} =\frac{2*20}{5*20}=\frac{40}{100}[/tex]
∵ 40 > 35
∴ [tex]\frac{40}{100}>\frac{35}{100}[/tex]
∴ [tex]\frac{2}{5}>\frac{35}{100}[/tex]
∴ The symbol we can be used is " > "
