A mixed number is a whole number and a fraction combined.
For example, 3 1/2 is a mixed number because it is made up of the whole number 3 and the fraction 1/2.
In year 4, students typically learn about mixed numbers and other basic concepts of fractions, including equivalent fractions, simplifying fractions, and adding and subtracting fractions with the same denominator. They also learn to compare and order fractions, and how to represent fractions on a number line.
In year 4 math, students may learn about partitioning mixed numbers, which is the process of breaking them down into their whole number and fractional parts.
For example, a mixed number such as 3 1/2 can be partitioned into 3 whole numbers and 1/2.
This skill can be useful in a variety of math problems, such as adding or subtracting mixed numbers, converting mixed numbers to improper fractions, and comparing mixed numbers.
In addition to partitioning mixed numbers, students may also learn to partition other types of numbers, such as decimals and whole numbers, into groups or “partitions” to help them understand the place value and structure of the number.
Here is an example of partitioning a mixed number in year 4 math:
Example: Partition the mixed number 4 3/4 into its whole number and fractional parts.
Solution: The mixed number 4 3/4 can be partitioned into the whole number 4 and the fraction 3/4. We can visualize this by drawing a number line, with 4 being the whole number part, and 3/4 being the fractional part.
It can also be written as : 4 + 3/4 = 4 + 0.75 = 4.75
This skill can be useful in solving math problems such as adding or subtracting mixed numbers, converting mixed numbers to improper fractions, and comparing mixed numbers