Question

Which is greater 8:9 or 4:5

Answer 1

Here in the question, we have to find out which is greater  8:9 or 4:5

In order to find the greater ratio, we will first divide the two number

8:9 = $\frac{8}{9}$

    =0.88

4:5 = $\frac{4}{5}$

     = 0.8

Now, the first place after the decimal is same

So, we will compare the second place after the decimal

In 0.88, the second place after the decimal is 8 and in 0.8 the second place after the decimal is 0

So, 0.88 will be the greater number

Therefore, 8:9 will be the greater ratio than 4:5.

Answer 2

Answer:

$8:9$ is greater than $4:5$.

Step-by-step explanation:

Given ratios are $8:9$ and $4:5$.

We can also express $a:b$ as $\frac{a}{b}$.

We have to find which ratio is greater.

We can write $8:9$ as $\frac{8}{9}$.

Also, we can write $4:5$ as $\frac{4}{5}$.

Now on dividing $8$ by $9$, we get

$\frac{8}{9}=0.88889$

On dividing 4 by 5, we get

$\frac{4}{5}=0.8$

Both the numbers after division are less than 1.

Both the numbers have $8$ after the decimal point.

If we check further the first number has 8 two digits after the decimal.

The second numbers has no digit. So we can take it as 0.

Since $8>0$,

$0.8889>0.8$

⇒$\frac{8}{9}>\frac{4}{5}$

⇒$8:9>4:5$.