Question

Which inequality correctly compares Four-fifths, One-fourth, and Four-ninths?

Answer 1

Answer:

a

Step-by-step explanation:

Answer 2

Answer:

$\frac{4}{5} > \frac{4}{9} > \frac{1}{4}$ or $\frac{1}{4} < \frac{4}{9} < \frac{4}{5}$

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:

$\frac{4}{5} > \frac{4}{9} > \frac{1}{4}$ or $\frac{1}{4} < \frac{4}{9} < \frac{4}{5}$