When adding mixed numbers, you use a similar method to adding two fractions. But this time, you have to add whole numbers as well.
3¹⁄₃ is an example of a mixed number. A mixed number has a whole number part and a fraction part.
Let’s break down the method into steps.
Method
This method allows you to break down (partition) the mixed numbers into fractions and whole numbers so that you can add them separately.
1¹⁄₃ + 2²/₉
Step 1: Partition the mixed numbers so you are left with the whole numbers together and the fractions together.
1 + 2 = 3
¹⁄₃ + ²/₉ =
You can quickly add the whole numbers together to make 3
Step 2: Focus on the fractions now. They have different denominators, so you need to change one into its equivalent fraction so they have the same denominator.
You can’t simplify ²/₉ any further to turn it into a third, so you have to change ¹⁄₃.
Multiply the numerator and denominator by 3
Step 3: Now you can add the numerators together.
³/₉ + ²/₉ = ⁵/₉
Step 4: Finally, add the answers from the whole numbers and fractions together.
3 + ⁵/₉ = 3⁵/₉
Use the steps again to answer the following word problem.
Jeannie and Oliver ordered lots of pizzas. Jeannie ate 2¹/₄ pizzas and Oliver ate 1¹/₈. How much pizza did they eat altogether?
2¹/₄ + 1¹/₈
Step 1: Partition the fractions and whole numbers to add them separately.
2 + 1 = 3
¹/₄ + ¹/₈ =
Step 2: Change one of the fractions so they both have the same denominator.
Multiply the numerator and denominator by 2
Step 3: Add the numerators together.
²/₈ + 1/₈ = ³/₈
Step 4: Add the whole number answer and fraction answers together.
3 + ³/₈ = 3 ³/₈
Here’s a checklist to remind you of the steps while you work:
Partition and add whole numbers.
Check and change denominators.
Add the fractions.
Whole numbers answer + fractions answer = final answer!
Modal verbs are a special type of verb that impact other verbs in a sentence. Words like can/could, may/might, will/would, shall/should and must are modal verbs.
Modal verbs can be used to show:
Possibility (might, should).
Ability (can, could).
Obligation (must, have to).
Give permission (can, may).
Examples
The Sea Monster must go away.
We should celebrate the work of our healthcare heroes.
