In this Grade 6 lesson from Big Ideas Math Advanced 1, students learn how to divide mixed numbers by converting them to improper fractions and multiplying by the reciprocal. The lesson covers dividing a mixed number by a fraction, dividing two mixed numbers, and applying order of operations with mixed number division. Students also practice solving real-life problems using these skills, aligned to Common Core standard 6.NS.1.
Section 1
Complete Procedure for Dividing Mixed Numbers
To divide mixed numbers:
(1) Convert each mixed number to an improper fraction using ;
(2) multiply by the reciprocal of the divisor: ;
(3) simplify the result;
(4) convert back to mixed number form if the result is an improper fraction.
Section 2
Common Errors in Mixed Number Division
Common errors in mixed number division include:
forgetting to convert mixed numbers to improper fractions;
using the reciprocal of the dividend instead of the divisor;
making conversion errors when changing between mixed numbers and improper fractions.
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Section 1
Complete Procedure for Dividing Mixed Numbers
To divide mixed numbers:
(1) Convert each mixed number to an improper fraction using ;
(2) multiply by the reciprocal of the divisor: ;
(3) simplify the result;
(4) convert back to mixed number form if the result is an improper fraction.
Section 2
Common Errors in Mixed Number Division
Common errors in mixed number division include:
forgetting to convert mixed numbers to improper fractions;
using the reciprocal of the dividend instead of the divisor;
making conversion errors when changing between mixed numbers and improper fractions.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter