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Mathematics · Grade 4

Multiply a Fraction by a Whole Number

Learners see every fraction as a multiple of a unit fraction (5/4 = 5 × 1/4), multiply a whole number by a fraction as repeated groups of that fraction (3 × 2/5 = 6/5), solve word problems with bars, number lines and equations, and reason about which two whole numbers a product lies between.

  • 4 lessons
  • About 75 minutes
  • Fraction times whole number check: 8 questions
  • Ways to answer: fill in the blanks, choose an answer, type a fraction, match pairs, place on a number line and sort into groups
See plans Included with Family, Teacher and School plans. Open in PlayOwl

What learners will discover

  • Write a fraction a/b as a multiple of the unit fraction 1/b, for example 5/4 = 5 × 1/4.
  • Multiply a whole number by a fraction, understanding n × (a/b) as (n × a)/b.
  • Solve word problems that multiply a fraction by a whole number, using models and equations.
  • Use a number line to place a product and tell which two whole numbers it lies between.

Lessons

  1. Fractions are made of unit fractions 6 steps4 practiceabout 18 min
  2. Groups of a fraction 7 steps4 practiceabout 20 min
  3. Fraction multiplication stories 5 steps3 practiceabout 19 min
  4. Between which whole numbers? 7 steps4 practiceabout 18 min
  5. Fraction times whole number check 8 questions at the end

Keep exploring

Games to practice with

  • Number-Line HopHelp the frog hop to the right number — from counting to negative fractions.
  • Paint by AnswersSolve each space, dip your brush and watch a picture come to life.
  • Array OrchardPlant trees in rows, pack fruit into crates and split big fields to multiply.

More 4th grade math

Guide for grown-ups