SOLUTION: I forgot how to work this type of problem and don't know what to do. 2 3/4 + 1 1/8

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Question 254000: I forgot how to work this type of problem and don't know what to do.
2 3/4 + 1 1/8
Found 2 solutions by jim_thompson5910, Edwin McCravy:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, convert each fraction to an improper fraction


Let's convert 2%263%2F4 into an improper fraction:
Solved by pluggable solver: Converting Mixed Fractions to Improper Fractions (and vice versa)

Mixed Fractions to Improper Fractions


Remember, mixed fractions (or mixed numbers) are of the form:


               numerator
whole part ----------------
              denominator

So we can see that: whole_part=2, numerator=3, and denominator=4

Now follow these steps to convert the mixed fraction to an improper fraction

Step 1) First, multiply the whole part 2 by the denominator 4 to get 2%2A4=8.

Step 2) Now add that result to the numerator 3 to get 8%2B3=11. This result is the new numerator. The denominator will remain the same.

Step 3) Place the new numerator 11 over the original denominator 4 to get 11%2F4

=============================

Answer:

So, 2%263%2F4=11%2F4




Let's convert 1%261%2F8 into an improper fraction:
Solved by pluggable solver: Converting Mixed Fractions to Improper Fractions (and vice versa)

Mixed Fractions to Improper Fractions


Remember, mixed fractions (or mixed numbers) are of the form:


               numerator
whole part ----------------
              denominator

So we can see that: whole_part=1, numerator=1, and denominator=8

Now follow these steps to convert the mixed fraction to an improper fraction

Step 1) First, multiply the whole part 1 by the denominator 8 to get 1%2A8=8.

Step 2) Now add that result to the numerator 1 to get 8%2B1=9. This result is the new numerator. The denominator will remain the same.

Step 3) Place the new numerator 9 over the original denominator 8 to get 9%2F8

=============================

Answer:

So, 1%261%2F8=9%2F8




Now let's add 11%2F4%2B9%2F8

Solved by pluggable solver: Fractions Solver


11%2F4%2B9%2F8 Start with the given expression




In order to add these two fractions, these fractions need to have a common denominator.


In order to do that, we simply find that the LCM of 4 and 8 is 8 (note: if you need help with finding the LCM, check out this solver)


Now we need to get each denominator to 8



%282%2F2%29%2811%2F4%29%2B9%2F8 Multiply 11%2F4 by %282%2F2%29


22%2F8%2B9%2F8 Multiply 11%2F4 and %282%2F2%29 to get 22%2F8



Since both fractions have a common denominator of 8, we can now combine the fractions


%2822%2B9%29%2F8 Combine the fractions


31%2F8 Add the numerators



So

11%2F4%2B9%2F8=31%2F8





Finally, convert 31%2F8 back to a mixed fraction


Solved by pluggable solver: Converting Mixed Fractions to Improper Fractions (and vice versa)

31%2F8 Start with the given improper fraction.

%2824%2B7%29%2F8 Break up 31 to get 24%2B7. Note: Make sure that the first number is a multiple of the denominator 8

24%2F8%2B7%2F8 Break up the fraction.

3%2B7%2F8 Reduce

=============================

Answer:

So, 31%2F8=3%267%2F8




======================================================================

Answer:


So 2%263%2F4%2B1%261%2F8=3%267%2F8

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

2 3/4 + 1 1/8

Here's a better way. Start by writing one fraction under
the other and drawing a line underneath:

2 3/4
1 1/8
--------------

Get a common denominator of 8 and rewrite the fraction
parts with the common denominator:

 2 3/4 = 2 6/8 
+1 1/8 = 1 1/8
--------------

Add the whole parts and the fraction parts:

 2 3/4 = 2 6/8 
+1 1/8 = 1 1/8
--------------
         3 7/8

That's the answer in this case, but sometimes the fraction
part is top heavy (improper) and you have go another step.
[Also when you do subtraction this way, sometimes you have
to borrow from the whole part to make the top fraction bigger
than the bottom fraction.)

Edwin