<PRE><B>Question 1146326</B>
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Picture the actual pizzas....&lt;br&gt;
When you cut a whole pizza into two equal size pieces, you get two half pizzas.  Cut each of those two halves into two equal size pieces, you get four equal size pizzas; each piece is one quarter of a pizza.&lt;br&gt;
So to add the given numbers of pizzas, cut everything into the same size pieces -- quarters of a pizza.&lt;br&gt;
1 pizza --&gt; 4 quarters
1 3/4 pizzas --&gt; the whole is 4 quarters; plus 3 more quarters, so 7 quarters
1/2 pizza --&gt; 2 quarters&lt;br&gt;
Now all the pieces are the same size, so find how many there are all together: 4+7+2 = 13 quarters.&lt;br&gt;
So one form of the answer to the question is 13/4 pizzas.&lt;br&gt;
Then you can think of putting the quarters together to make whole pizzas.  13 = 3(4)+1; so with the 13 quarter pizzas you can make 3 whole pizzas with one quarter left over.&lt;br&gt;
So another form of the answer is 3 1/4 pizzas.&lt;br&gt;
Working with the numbers themselves instead of the actual pizzas, the process is exactly the same.  To add the fractions, you need a common denominator (same size pieces).  Since the least common denominator of 2 and 4 is 4,&lt;br&gt;
1 = 1*(4/4) = 4/4
1 3/4 = 1*(4/4) + 3/4 = 4/4 + 3/4 = 7/4
1/2 = (1/2)*(2/2) = 2/4&lt;br&gt;
Then (adding same size pieces)&lt;br&gt;
4/4 + 7/4 + 2/4 = 13/4&lt;br&gt;
Finally, if you need an answer as a mixed number instead of an improper fraction, you can put some of the pieces together to make wholes, with some left over:&lt;br&gt;
13/4 = 3 remainder 1 --&gt; 3 1/4 (3 whole pizzas with one quarter left over)
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