Answer:
Explanation:
Here's how to subtract 4/9 from 2/4:
![(2)/(4) -(4)/(9)](https://img.qammunity.org/2022/formulas/mathematics/high-school/3iicl4cfykaqmfg4h7reiv8l55z5eordgv.png)
Step 1:
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 2 by 9, and get 18.
Then we multiply 4 by 4, and get 16.
Next we give both terms new denominators -- 4 × 9 = 36.
So now our fractions look like this:
![(18)/(36) -(16)/(36)](https://img.qammunity.org/2022/formulas/mathematics/high-school/7oeqtwl7taqk3heb1y43ivcnb85pn5hzvf.png)
Step 2
Since our denominators match, we can subtract the numerators.
18 − 16 = 2
So the answer is:
![(2)/(36)](https://img.qammunity.org/2022/formulas/mathematics/high-school/jdgjwclrbm8hag5mdrzg3jkm0766jx1cng.png)
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
÷2=
![(1)/(8)](https://img.qammunity.org/2022/formulas/mathematics/college/rg98ozckf5lxwmpuro5ma5f58995vrv8np.png)
Let's try dividing by 2 again...
No good. 2 is larger than 1. So we're done reducing.
There you have it! The final answer is:
![(1)/(8)](https://img.qammunity.org/2022/formulas/mathematics/college/rg98ozckf5lxwmpuro5ma5f58995vrv8np.png)
I hope this helps :)