Touchstone Standards

Grade 6 Georgia math worksheets

6th Grade Multiplying and Dividing Fractions and Mixed Numbers Worksheets

Area models, mixed numbers, how many fit on a number line, and dividing with same-size pieces, with a worked line under every answer in the keys.

What students practice

Students multiply on area models, where a part of a part is the cross-hatched cells, then multiply fractions and mixed numbers and predict whether a product or quotient is bigger or smaller before they compute. Division starts with how many fit, jumps on a number line, then renames both numbers in the same-size pieces and divides the piece counts. Students check quotients with missing-factor multiplication, solve recipe, garden, ribbon, and sharing problems, and finish with a self-checking code page and a Mixed Review.

What's inside

  1. p. 3

    Area Models

    Use the area model to multiply, and write the product in the box.

  2. p. 4

    Multiply Fractions

    Find each product.

  3. p. 5

    Multiply Mixed Numbers

    Find each product.

  4. p. 6

    Bigger or Smaller?

    Without multiplying or dividing, write < or > in each box, then check the ones that fit.

  5. p. 7

    How Many Fit?

    Show the jumps on the number line, then write the quotient in the box.

  6. p. 8

    Divide Fractions

    Find each quotient.

  7. p. 9

    Divide Mixed Numbers

    Find each quotient.

  8. p. 10

    Multiply to Check

    Find the missing number, then answer the last question.

  9. p. 11

    Fraction Code

    Find each answer in the code bank, then write its letter in the box.

  10. p. 12

    Recipes and Gardens

    Solve each problem, and write the answer in the box.

  11. p. 13

    Bags, Ribbons, and Shares

    Solve each problem, and write the answer in the box.

  12. p. 14

    Mixed Review

    Solve each problem, then check your work.

Georgia standards covered

6.NR.1.2

Multiply and divide any combination of whole numbers, fractions, and mixed numbers using a student-selected strategy. Interpret products and quotients of fractions and solve word problems.

In this packet: pages 3 to 14. 6.NR.1.2 practice in all our packets

Who it's for

Grade 6 classes in the fractions unit, after adding and subtracting. Denominators are 2, 3, 4, 5, 6, 8, 10, and 12. A whole number times a fraction or a mixed number is Grade 5 work in Georgia, so every product here has two factors that are not whole numbers. No page teaches a trick to memorize, and any correct strategy is fine. Every answer key has a worked line under each answer.

See the format first, free. The free Grade 6 Math Sampler has one practice page from four units, each with its answer key.

More Grade 6 packets

All Grade 6 packets · Grade 6 standards by code