Answer:
1/20
Step-by-step explanation:
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 8 by 4, and get 32.
Then we multiply 3 by 10, and get 30.
Next we give both terms new denominators -- 10 × 4 = 40.
So now our fractions look like this:
32/40−30/40
Step 2
Since our denominators match, we can subtract the numerators.
32 − 30 = 2
So the answer is:2/40
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:
2/40÷ 2 =1/20
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:
1/20
