Improper Fractions and Mixed Numbers Continued

 Advice of the day:

In our last post, we learned how to convert improper fractions to mixed numbers.  Today we will learn how to convert mixed numbers into improper fractions.  Basically, we are working backwards from what we were doing in our last post.  To review, a mixed number is a whole number plus a fraction, while an improper fraction is where your numerator is larger than your denominator.  In order to learn how to convert mixed numbers to improper fractions, we will go over some examples. 

Examples: Convert the following mixed numbers into improper fractions.

1.) 3 1/2 = ?
2.) 5 2/7 = ?
3.) 7 1/8 = ?
4.) 1 3/4 = ?
5.) 10 1/2 = ?
6.) 2 1/9 = ?
7.) 6 7/8 = ?
8.) 4 2/9 = ?
9.) 8 5/6 = ?
10.) 9 3/5 = ?

Let's do a few together, and then you can try the rest on your own and see the attached answers.   

1.) 3 1/2 = [(2x3) + 1] / 2 = 7/2
2.) 5 2/7 = [(7x5) + 2] / 7 = 37/7
3.) 7 1/8 = [(8x7) + 1] / 8 = 57/8

The pattern is: multiply your denominator by your whole number, add your numerator, and then put that number over your original denominator.

 

Go to this link below to see the solutions to the other problems:  

Solutions to problems 4 through 10

For more help with converting mixed numbers into improper fractions, go to the following links: 

Youtube video with teacher providing an example of how to convert a mixed number into an improper fraction,  Worksheet with 24 practice problems 

I hope this helps!