Answer:
1. 37/36
2. 22/21
4. 7/6
Step-by-step explanation:
1. The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.
So, we multiply 7 by 12, and get 84, then we multiply 9 by 12 and get 108.
7/12= 84/108
Now for the second term. You multiply 3 by 9, and get 27, then multiply 9 by 12 and get 108.
3/12= 27/108
We now have a new problem, that looks like this:
84/108+27/108
Since our denominators match, we can add the numerators.
84 + 27 = 111
That gives us the sum, which is
111/108
Now we need to simplify the fraction
both the numerator and the denominator evenly divisible by 3 so
111/108÷3= 37/36
37 is larger than 36. So we're done reducing.
2. We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. 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 1 by 7, and get 7, then we multiply 3 by 7 and get 21.
Do the same for the second term. We multiply 5 by 3, and get 15, then multiply 3 by 7 and get 21.
So now our fractions look like this:
7/21+15/21
Since our denominators match, we can add the numerators.
7 + 15 = 22
answer: 22/21
4. We have to make sure the denominators are equal.
12 goes into 3 evenly, so we only need to multiply one term to get a common denominator.
Multiply 2 by 4, and get 8, then we multiply 3 by 4 and get 12.
fraction: 8/12 + 6/12
Since our denominators match, we can add the numerators.
8 + 6 = 14
fraction: 14/12
we need to simplify it by dividing by 2
now your answer is 7/6
