In Lesson 61 of Saxon Math Course 1, Grade 6 students learn how to add three or more fractions by finding the least common denominator, renaming each fraction, and simplifying the result. The lesson covers both proper fractions and mixed numbers, walking through examples like adding 1½ + 2⅓ + 3⅙ using the LCM of the denominators as a common denominator. Students apply this skill in practice problems including finding the perimeter of a triangle with fractional side lengths.
Section 1
📘 Adding Three or More Fractions
To add three or more fractions, we find a common denominator for all the fractions being added. Once we determine a common denominator, we can rename the fractions and add.
This is just the beginning. Next, you'll walk through worked examples for adding both proper fractions and mixed numbers, putting this core concept into practice.
Section 2
Adding Three or More Fractions
To add three or more fractions, find a common denominator for all fractions, rename them using the common denominator, and then add the numerators together.
Imagine a pizza party where guests ate different fractional slices. To find the total eaten, you must first re-slice all the pieces into a common size. That’s what finding a common denominator does! It lets you add up all the pieces fairly, turning a messy mix of fractions into a simple sum.
Section 3
Least Common Denominator
The least common denominator (LCD) is the least common multiple (LCM) of all the denominators in a set of fractions.
Why hunt for the least common denominator? It’s your secret weapon for keeping math simple! By finding the smallest possible common slice size for your fractions, you get to work with smaller, friendlier numbers. This trick saves you from wrestling with giant fractions and makes simplifying your final answer much easier.
Section 4
Adding Mixed Numbers
Add the whole numbers together, then add the fractions separately. Find a common denominator for the fractions before you add them, then combine the whole and fractional parts and simplify.
It’s a two-step process! First, add the big numbers—the whole parts. Easy. Then, handle the smaller bits: the fractions. Find their common denominator, add them up, and join your two sums together. If the fractions make a new whole number, level up your whole number part. You're done!
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Section 1
📘 Adding Three or More Fractions
To add three or more fractions, we find a common denominator for all the fractions being added. Once we determine a common denominator, we can rename the fractions and add.
This is just the beginning. Next, you'll walk through worked examples for adding both proper fractions and mixed numbers, putting this core concept into practice.
Section 2
Adding Three or More Fractions
To add three or more fractions, find a common denominator for all fractions, rename them using the common denominator, and then add the numerators together.
Imagine a pizza party where guests ate different fractional slices. To find the total eaten, you must first re-slice all the pieces into a common size. That’s what finding a common denominator does! It lets you add up all the pieces fairly, turning a messy mix of fractions into a simple sum.
Section 3
Least Common Denominator
The least common denominator (LCD) is the least common multiple (LCM) of all the denominators in a set of fractions.
Why hunt for the least common denominator? It’s your secret weapon for keeping math simple! By finding the smallest possible common slice size for your fractions, you get to work with smaller, friendlier numbers. This trick saves you from wrestling with giant fractions and makes simplifying your final answer much easier.
Section 4
Adding Mixed Numbers
Add the whole numbers together, then add the fractions separately. Find a common denominator for the fractions before you add them, then combine the whole and fractional parts and simplify.
It’s a two-step process! First, add the big numbers—the whole parts. Easy. Then, handle the smaller bits: the fractions. Find their common denominator, add them up, and join your two sums together. If the fractions make a new whole number, level up your whole number part. You're done!
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter