Fractions as division

Practice 3 items →

a/b equals a ÷ b. This is the sentence that makes decimals, percents, and slopes possible. Students rewrite a division as a fraction, place fractions on the line, and compare unlike denominators with a common denominator or by cross-multiplying.

Specification · for a parent or teacher

Part no.: fraction-as-division
Course: Advanced Math 5 · Unit 6
Realm: Foundations
Difficulty: 2 of 4 — Grade 4–5. Two steps, or one idea in a story.
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

rewrite a division as a fraction; place fractions on the line; compare unlike denominators with LCD or cross-multiply.

Ready when

they can explain why $\frac{6}{8} = 0.75$ two ways: equivalent to $\frac{3}{4}$ , and $6\div 8$ .

Formulas

Fraction as division

\frac{a}{b} = a \div b

Watch for

$3 \div 4 = 1\frac{1}{3}$ (inverting out of habit).

Before · requires

Fractionsfraction-fundamentals · Math 4
Divisionlong-division-remainders · Math 4

After · used by

Multiplying fractionsfraction-mul-div · Math 5
Rateunit-rate-work · Math 5
Decimals: terminating and repeatingdecimals-terminating-repeating · Math 6

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