Respuesta :
The different between 2/4 and 4/9 is 2/36. i got my answer by changing the two fractions so that they have common denominators. i did this by checking if they have common multiples and they did. the common multiple is 36. so first, i turned 2/4 into 18/36 by multiplying 2 by 9 and multiplying 4 by 9. then, i did the same for 4/9. hope this helped!
Answer:
Step-by-step explanation:
Here's how to subtract 4/9 from 2/4:
[tex]\frac{2}{4} -\frac{4}{9}[/tex]
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:
[tex]\frac{18}{36} -\frac{16}{36}[/tex]
Step 2
Since our denominators match, we can subtract the numerators.
18 − 16 = 2
So the answer is:
[tex]\frac{2}{36}[/tex]
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:
[tex]\frac{2}{36}[/tex]÷2=[tex]\frac{1}{8}[/tex]
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:
[tex]\frac{1}{8}[/tex]