Dividing Mixed Numbers
Divide mixed numbers in Grade 6 math by first converting them to improper fractions, then applying Keep, Change, Flip to multiply by the reciprocal and simplify the result.
Key Concepts
New Concept To divide mixed numbers, first convert them into improper fractions. Then, multiply the first fraction by the reciprocal of the second fraction. What’s next This is the foundational method. Next, you'll tackle worked examples and challenge problems to solidify your understanding of dividing mixed numbers.
Common Questions
How do you divide mixed numbers?
Convert each mixed number to an improper fraction first. Then apply Keep, Change, Flip: keep the first fraction, change ÷ to ×, flip the second fraction. Multiply across and simplify the result.
How do you convert a mixed number to an improper fraction?
Multiply the whole number by the denominator, then add the numerator. Keep the same denominator. For example, 2 3/4 = (2×4 + 3)/4 = 11/4.
Why must you convert mixed numbers before dividing?
You cannot apply the Keep, Change, Flip method to mixed numbers directly. Converting to improper fractions first puts the entire value over one denominator, making the division straightforward.
How do you convert an improper fraction answer back to a mixed number?
Divide the numerator by the denominator. The quotient is the whole number part, and the remainder over the denominator is the fraction part. For example, 17/4 = 4 remainder 1 = 4 1/4.