Answer: B
Explanation:
Here's how to subtract 3/12 from 4/6:
4/6−3/12
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 4 by 12, and get 48.
Then we multiply 3 by 6, and get 18.
Next we give both terms new denominators -- 6 × 12 = 72.
So now our fractions look like this:
48/72−18/72
Step 2
Since our denominators match, we can subtract the numerators.
48 − 18 = 30
So the answer is:
30/72
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:
30/72÷ 2 =15/36
Let's try dividing by 2 again...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
15/36÷ 3 =5/12
Let's try dividing by 3 again...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
No good. 7 is larger than 5. So we're done reducing.
There you have it! The final answer is:4.6−3/12=5/12