7th Grade · Ratios & Proportional Relationships

Reciprocal

7.NS.A.2c

Definition

The multiplicative inverse of a number, found by flipping numerator and denominator. Any number (except 0) times its reciprocal equals 1.

Teach it

Where it is taught, with guided notes, practice, homework, an exit ticket and an interactive Teacher Deck.

Examples

  • The reciprocal of 3/4 is 4/3, and 3/4 × 4/3 = 1.
  • To divide fractions, multiply by the reciprocal: 3/4 ÷ 2/5 = 3/4 × 5/2.

Key rule

A number times its reciprocal always equals 1.

Memory hook

Flip it to get the reciprocal.