Fractions and Fairness in Healthcare Vocabulary Review

Vocabulary Review Sheet

Lesson – Fractions and Fairness in Healthcare

How to Use

  • Read each vocabulary word before or after watching the lesson video.
  • Study the math, real-life, and fairness examples to understand how fractions help describe healthcare access.
  • Notice that larger fractions represent greater need and smaller fractions show more access.
  • Keep this sheet in your Equity in Numbers Student Journal as a study reference for quizzes and reflections.

Fraction

  • Definition: A number that shows a part of a whole, written with a numerator (top) and denominator (bottom).
  • Math Examples:
    • 250/1000 = 1/4
    • 150/600 = 1/4
    • 80/400 = 1/5
  • Real-Life Example: 1/4 of a community lacks healthcare.
  • Fairness Example: Fractions help us measure who has access to care and who is missing it, making inequalities visible.

Numerator

  • Definition: The top number in a fraction that shows how many parts are being counted.
  • Math Examples:
    • In 250/1000, the numerator is 250.
    • In 3/20, the numerator is 3.
    • In 1/4, the numerator is 1.
  • Real-Life Example: The number of people without healthcare in a community.
  • Fairness Example: The numerator tells us how many people still need access to reach fairness in care.

Denominator

  • Definition: The bottom number in a fraction that shows how many parts make up the whole.
  • Math Examples:
    • In 250/1000, the denominator is 1000.
    • In 3/20, the denominator is 20.
    • In 1/4, the denominator is 4.
  • Real-Life Example: The total number of people in the community.
  • Fairness Example: The denominator helps us understand the size of the population we’re comparing — large or small, everyone counts.

Simplify

  • Definition: To make a fraction smaller by dividing both numerator and denominator by the same number.
  • Math Examples:
    • 250/1000 ÷ 250 = 1/4
    • 120/800 ÷ 40 = 3/20
    • 150/600 ÷ 150 = 1/4
  • Real-Life Example: Simplifying shows that 1 out of 4 people lack healthcare, even if the total population changes.
  • Fairness Example: Simplified fractions help compare communities of different sizes equally and fairly.

Compare

  • Definition: To look at two or more fractions and see which represents a larger or smaller part.
  • Math Examples:
    • 1/4 > 3/20
    • 1/5 < 1/4
    • 3/10 > 1/5
  • Real-Life Example: Comparing fractions shows which community has more people without healthcare.
  • Fairness Example: Comparing helps identify which groups need more attention or resources to achieve healthcare equity.

Part-to-Whole

  • Definition: A fraction that compares one portion to the entire group.
  • Math Examples:
    • 1/4 = one out of four
    • 3/20 = three out of twenty
    • 1/5 = one out of five
  • Real-Life Example: One-fourth of the population in a town lacks healthcare coverage.
  • Fairness Example: Part-to-whole thinking helps leaders see how many individuals still lack equal access.

Access

  • Definition: The ability to receive or make use of something important, like healthcare or education.
  • Math Examples:
    • 3/4 have healthcare access → 1/4 do not.
    • 4/5 have care → 1/5 lack it.
    • 19/20 covered → 1/20 need care.
  • Real-Life Example: 1/4 of families in a city cannot visit a doctor regularly.
  • Fairness Example: Measuring access shows how math can reveal injustice and guide fairness-focused decisions.

Gap

  • Definition: The difference between two fractions or levels of access.
  • Math Examples:
    • 1/4 − 1/5 = 1/20
    • 3/10 − 1/5 = 1/10
    • 1/2 − 2/5 = 1/10
  • Real-Life Example: The healthcare access gap between two communities can be seen by comparing fractions.
  • Fairness Example: Closing the gap means helping under-served groups get the same care as others.

Need

  • Definition: The amount of improvement or support required to reach full access.
  • Math Examples:
    • 1/4 need care → 3/4 have it.
    • 1/5 need care → 4/5 have it.
    • 3/20 need care → 17/20 have it.
  • Real-Life Example: 1 out of 5 people need help to reach healthcare coverage.
  • Fairness Example: Fractions show that need isn’t just a number — it’s a measure of justice.

Equity

  • Definition: Giving everyone what they need to achieve full access and opportunity.
  • Math Examples:
    • 1/4 need care → add 1/4 support → total 4/4 = full access.
    • 3/20 need care → add 3/20 → total 20/20 = full coverage.
    • 1/5 need care → add 1/5 → total 1 → complete fairness.
  • Real-Life Example: Equity means providing extra clinics or programs to underserved communities.
  • Fairness Example: Math helps leaders see who needs more support so that every fraction of society can have equal healthcare access.

Summary of Math + Fairness Connections

ConceptMath FocusFairness Connection
FractionPart of a wholeWho has or lacks access
SimplifyMake numbers comparableCompare fairly across communities
CompareSee which is biggerIdentify inequities
GapDifference between partsMeasure injustice
EquityAdjust valuesEnsure full access for all