Multiplying fractions

Practice 3 items →

Area model: a/b × c/d is a rectangle inside a unit square. Students multiply fractions and mixed numbers, cross-cancel first, divide with unit fractions in both directions, and solve sequential of-the-remainder stories.

Specification · for a parent or teacher

Part no.: fraction-mul-div
Course: Advanced Math 5 · Unit 8
Realm: Foundations
Difficulty: 3 of 4 — Grade 6–7 core. Multi-step, first symbolic work.
Qty: 3 items

Part no. is the node's id; the realm is the kind of math; qty is how many practice items it carries.

Students can

$\frac{a}{b}\times n$ , $\frac{a}{b}\times\frac{c}{d}$ , mixed × mixed; unit-fraction division $\frac{1}{b}\div n$ and $n\div\frac{1}{b}$ ; sequential “of remaining” stories.

Ready when

they can draw $\frac{2}{3}\times\frac{4}{5}$ as area and compute $6\div\frac{1}{4} = 24$ as “how many quarters in 6.”

Formulas

Fraction product

\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}

Watch for

$\frac{2}{3}\times\frac{4}{5} = \frac{6}{8}$ (adding); $3\div\frac{1}{2} = \frac{1}{6}$ .

Before · requires

Multiplying a fraction and a whole numberfraction-times-whole · Math 4
Fractions as divisionfraction-as-division · Math 5

After · used by

Ratioratio-tape-diagrams · Math 5
Fractions: division and multi-step storiesfraction-operations-6 · Math 6

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