Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.NOS.1

Lesson 6.106.10 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice

Name Date Period

Learning target With my small group, I can divide mixed numbers by first changing them to improper fractions — one step at a time, with support.

Remember6.10 Small Group · Group 1

To divide mixed numbers, change them to improper fractions, then multiply by the reciprocal of the divisor. To divide with a mixed number, first change it to an improper fraction. Then use Keep, Change, Flip.

Words: Mixed Number (Número mixto)Improper Fraction (Fracción impropia)Convert (Convertir)Simplify (Simplificar)Reciprocal (Recíproco)

Part 1Practice the skillshow every step

1Complete each step, then write the final answer.

Find 2 2/5 ÷ 3/5.
Show your work
Hint Change 2 2/5 to fifths first. Then multiply by 5/3.
Final answer:

Part 2Apply itreal-world problems

2Complete each step, then write the final answer.

A board is 4 1/2 feet long. You cut it into pieces that are 1/2 foot long. How many pieces do you get?
Show your work
Hint Change 4 1/2 to an improper fraction first. Then keep, change, flip.
Final answer:
3Complete each step, then write the final answer.

A walking path is 5 1/3 miles long. It has signs every 2/3 mile. How many 2/3-mile parts does the path have?
Show your work
Hint Find 5 1/3 ÷ 2/3. Change 5 1/3 to thirds first.
Final answer:
4Complete each step, then write the final answer.

Both numbers are mixed numbers. Find 3 3/5 ÷ 1 1/5.
Show your work
Hint Change both mixed numbers to improper fractions. Then flip the second one.
Final answer:

Explain your thinkingWhy must you change a mixed number to an improper fraction before you flip and multiply?

Sentence starter First I change ___ to ___ because ___. · Then I flip ___, not the first number, because ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help