Rewrite the fractions in terms of their least common denominator, 12.

Add, then rewrite as a mixed fraction:

Add the integers:

Now add the sums:

In order to add fractions we must find a common denominator.  Since is a multiple of both and , we must multiply the numerator and denominator of each fraction by a number to get a denomintor of . 

Since times is , we can multiply the numerator and denominator of the first fraction by .

Since times is , we can multiply the numerator and demonimator of the second fraction by .

Now we add together the numerators.

The answer is .

In order to find the perimeter of a rectangle, you add together all the sides.  In this particular case, however, you must first find a common denominator for all of the fractions.  Luckily, is a multiple of , so we can multiply the numerator and denominator of  by to get a denominator of .

Now we simply add all four sides.

Since  can be reduced by dividing the numerator and denominator by , we must simplify.

The perimeter of the rectangle is .

Add both sides of the two equations:

(a) 

(b) 

First, you must add the fractions in each column. When adding fractions, find the common denominator. The common denominator for Column A is 10. Then, change the numerators to reflect changing the denominators to give you . Combie the numerators to give you Then, add the fractions in Column B. The common denominator for those fractions is 72. Therefore, you get . Combine the numerators to get . Compare those two fractions. Think of them as slices of pizza. There would be way more of Column B. Therefore, it is greater. Also, a little to trick to comparing fractions is cross-multiply. The side that has the biggest product is the greatest.

 and , so 

, the decimal equivalent of (A).

, the value of (B).

(A) is the greater.

The two quantities are equal.

When adding fractions with different denominators, you must first find a common denominator. Some multiples of 2 and 5 are:

2: 2, 4, 6, 8, 10...

5: 5, 10, 15, 20...

The first multiple 2 and 5 have in common is 10. Change each fraction accordingly so that the denominator of each is 10.

The problem now looks like this:

Add the numerators once the denominators are equal. The result is your answer.

When adding fractions with different denominators, first change the fractions so that the denominators are equal. To do this, find the least common multiple of 5 and 10. Some multiples of 5 and 10 are:

5: 5, 10, 15, 20...

10: 10, 20, 30, 40...

Since the first multiple shared by 5 and 10 is 10, change the fractions so that their denominators equal 10.  already has a denominator of 10, so there is no need to change it. 

The problem now looks like this:

Add the fractions by finding the sum of the numerators.

When possible, always reduce your fraction. In this case, both 5 and 10 are divisible by 5.

The result is your answer.