 Create and continue fraction patterns (add/sub)

Lesson

The pattern detective

We've seen that we can solve number patterns with fractions, but now we may need to do some detective work, especially when the pattern involves fractions. In video 1, I have a pattern, and have asked you to work out what it is, and finish the series of numbers. Are you up to the challenge?

Improper fractions

When we have fractions where the numerator is larger than the denominator, called improper fractions, we can still use the same methods to continue the pattern. This time, you get to challenge me to complete the pattern. Then, I ask you to continue the pattern with mixed fractions, or mixed numbers!

Remember!

Sometimes our number might increase, but number patterns can also have decreasing numbers. Start from left to right, and look for the change in the number, to see which it is.

Worked Examples

Question 1

Create a number pattern, starting on the left at $\frac{1}{5}$15, and adding on $\frac{1}{5}$15 each time.

1.  $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$

Question 2

Complete the following number pattern:

1.  $\frac{22}{5}$225​ $\frac{18}{5}$185​ $\frac{14}{5}$145​ $\editable{}$ $\editable{}$ $\editable{}$

Question 3

Complete the following number pattern:

1.  $10\frac{1}{2}$1012​ $10$10 $9\frac{1}{2}$912​ $\editable{}$ $\editable{}$$\frac{\editable{}}{\editable{}}$​ $\editable{}$