Answer:
[tex]\frac{4}{5} > \frac{4}{9} > \frac{1}{4}[/tex] or [tex]\frac{1}{4} < \frac{4}{9} < \frac{4}{5}[/tex]
Step-by-step explanation:
Lets find the decimal equivalent of each fraction, and then compare them.
Four-fifths:
4 is lower than 5, so the integer result is 0.
The decimal part is given by 40/5 = 8.
So 0.8
One-fourth
1 is lower than 4, so the integer result is 0.
The decimal part is given by 10/4 = 2.5.
So 0.25
Four-ninths
4 is lower than 5, so the integer result is 0.
The decimal part is given by 40/9 = 4.444.
So 0.4444
These following inequalities can combate them:
[tex]\frac{4}{5} > \frac{4}{9} > \frac{1}{4}[/tex] or [tex]\frac{1}{4} < \frac{4}{9} < \frac{4}{5}[/tex]
