Multiplying Fractions – Key Vocabulary

A set of vocabulary flashcards covering all key terms and ideas needed to understand and perform multiplication of fractions, including converting, multiplying, simplifying, and interpreting results.

Fraction

A number that represents part of a whole, written as one number (the numerator) over another (the denominator).

Numerator

The top number of a fraction that tells how many parts are being considered.

Denominator

The bottom number of a fraction that tells into how many equal parts the whole is divided.

Whole Number as a Fraction

Any whole number can be written as a fraction by placing it over 1 (e.g., 6 = 6⁄1).

Multiply Fractions (Straight-Across Rule)

To multiply fractions, multiply the numerators to get the new numerator and the denominators to get the new denominator.

Improper Fraction

A fraction whose numerator is greater than or equal to its denominator (e.g., 6⁄3).

Proper Fraction

A fraction whose numerator is less than its denominator (e.g., 2⁄3).

Mixed Number

A number that has a whole-number part and a fractional part (e.g., 7 1⁄5).

Converting Improper Fractions

Divide the numerator by the denominator to write the result as a mixed number; the quotient is the whole part and the remainder is the new numerator.

Greatest Common Factor (GCF)

The largest number that divides evenly into both the numerator and denominator; used to simplify fractions.

Simplifying (Reducing) Fractions

Dividing the numerator and denominator by their GCF to write the fraction in lowest terms (e.g., 6⁄12 → 1⁄2).

Effect of Multiplying by a Fraction < 1

Multiplying any number by a fraction smaller than one decreases the original number’s value.