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5th grade · Math · Unit 14 of 15

Fractions Times & Divided

Whole numbers and unit fractions

What your child practices

Your child multiplies a whole number by a fraction, divides a unit fraction (like 1/3) by a whole number, and divides a whole number by a unit fraction, often with recipes and sharing.

Texas Essential Knowledge and Skills (TEKS) teks student expectation: 5.3(I); 5.3(J); 5.3(L) · multiplying a whole number and a fraction, and dividing whole numbers and unit fractions

How we explain it

Children can open this short lesson before they practice.

  1. To multiply a whole number by a fraction, multiply the whole number by the top, then divide by the bottom.
  2. To divide a unit fraction by a whole number, split it into that many parts: 1/3 ÷ 2 = 1/6.
  3. To divide a whole number by a unit fraction, count how many fit: 4 ÷ 1/3 = 12.

Example: A recipe uses 3/4 cup of milk. How much milk for 4 batches? 4 × 3/4 = 12/4. 12/4 = 3. Answer: 3 cups

Fractions Times & Divided in Texas

In the Texas Essential Knowledge and Skills (TEKS), this is unit 14 of 15 in 5th grade Math, after Coordinate Grid and before Taxes, Pay & Budgets.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: Texas Education Agency (TEA)

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    What is 1/2 × 12?

    1/2 × 12 = ?

    • 5
    • 6
    • 12
    • 7
    • 3

  2. Question 2

    What is 5 ÷ 1/2?

    • 5
    • 7
    • 10
    • 2

  3. Question 3

    What is 1/3 ÷ 5?

    1/3 ÷ 5 = ?

    • 3/5
    • 1/15
    • 5/3
    • 1/8

  4. Question 4

    A recipe uses 1/2 cup of oats. How many cups for 2 batches?

    • 1 cup
    • 1/2 cups
    • 1 1/2 cups
    • 1/4 cups

  5. Question 5

    What is 6/8 × 8?

    6/8 × 8 = ?

    • 6
    • 1
    • 12
    • 5
    • 48

  6. Question 6

    What is 2/3 × 15?

    2/3 × 15 = ?

    • 30
    • 5
    • 12
    • 10
    • 13

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