In this Grade 5 Eureka Math lesson from Chapter 16, students learn to subtract fractions from mixed numbers between 1 and 2, working with unlike denominators using pictorial models. Students build on their understanding of part-whole relationships and equivalent fractions to solve expressions such as 1⅓ − ½. Fluency activities reinforce converting improper fractions to mixed numbers and subtracting fractions from 1 as preparation for the core concept.
Section 1
Subtracting with Rectangular Fraction Models
To subtract a fraction from a mixed number using a model, first represent the mixed number with shaded rectangles (e.g., one whole and one partial).
Then, re-partition the rectangles to create equivalent fractions with a common denominator.
Finally, cross out the fractional amount being subtracted to find the difference.
Section 2
Subtracting from the Whole Number
To subtract a fraction from a mixed number between 1 and 2, you can decompose the mixed number, subtract the fraction from the whole number (1), and then add the remaining fractional parts.
For a problem in the form , the process is:
Expand to review the lesson summary and core properties.
Section 1
Subtracting with Rectangular Fraction Models
To subtract a fraction from a mixed number using a model, first represent the mixed number with shaded rectangles (e.g., one whole and one partial).
Then, re-partition the rectangles to create equivalent fractions with a common denominator.
Finally, cross out the fractional amount being subtracted to find the difference.
Section 2
Subtracting from the Whole Number
To subtract a fraction from a mixed number between 1 and 2, you can decompose the mixed number, subtract the fraction from the whole number (1), and then add the remaining fractional parts.
For a problem in the form , the process is: