Working with patterns with fractions uses the concepts of patterns and applies it to the addition and subtraction of fractions. Watch the video below to see how to do this!
So to complete a pattern with fractions, we need to:
- Find the pattern - which will either be given, or which will need to be found by looking at the list of numbers.
- Continue the pattern - using the pattern that you found.
Worked Examples
Example 1
Complete the pattern by adding $\frac{1}{10}$110 each time.
$\frac{4}{10}$410 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
Example 2
Complete the pattern by subtracting $\frac{1}{10}$110 each time.
$\frac{6}{10}$610 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
Example 3
Consider the following pattern.
What is the rule for finding the next number in the pattern?
$\frac{3}{10}$310 $\frac{9}{10}$910 $1\frac{5}{10}$1510 $\editable{}$$\frac{\editable{}}{\editable{}}$
$\editable{}$$\frac{\editable{}}{\editable{}}$
$\editable{}$$\frac{\editable{}}{\editable{}}$
The numbers are increasing by $\frac{6}{100}$6100.
AThe numbers are increasing by $6$6.
BThe numbers are increasing by $\frac{6}{10}$610.
CThe numbers are increasing by $6\frac{1}{10}$6110.
DNow complete the pattern.
$\frac{3}{10}$310 $\frac{9}{10}$910 $1\frac{5}{10}$1510 $\editable{}$$\frac{\editable{}}{\editable{}}$
$\editable{}$$\frac{\editable{}}{\editable{}}$
$\editable{}$$\frac{\editable{}}{\editable{}}$