Multiplying and Dividing Fractions Flashcards

Grade 6 · Math · Flashcards

Key rules and vocabulary for multiplying and dividing fractions in Grade 6.

Flashcards

Multiplying fractions rule: Multiply numerators, then multiply denominators — no common denominator needed
Reciprocal: The fraction flipped upside down — 3/7 flipped is 7/3
Any number times its reciprocal: Always equals 1 — e.g. 5/8 × 8/5 = 1
KCF (dividing fractions): Keep the first fraction, Change ÷ to ×, Flip the second fraction
Why KCF works: Dividing by a number is the same as multiplying by its reciprocal
Improper fraction: Numerator ≥ denominator — e.g. 11/4, 7/3
Mixed number → improper fraction: (whole × denominator) + numerator, over denominator — e.g. 2¾ = 11/4
Improper → mixed number: Divide numerator by denominator; quotient is whole, remainder is new numerator
Cross-canceling: Before multiplying, divide a numerator and a denominator by their common factor to simplify
Multiplying a fraction by a whole number: Write whole as fraction over 1, then multiply — e.g. 3 × 2/5 = 6/5
1/3 ÷ 1/4 = ?: 1/3 × 4/1 = 4/3 — KCF gives you how many one-fourths fit in one-third
Simplify before or after?: Either works, but cross-canceling before multiplying keeps numbers smaller