Pre-Algebra Foundations
Lesson 2 of 4 8 min +55 XP

Fractions & Ratios

Parts of a whole and equivalent fractions.

What you'll learn

  • Read a fraction as part of a whole
  • Find equivalent fractions
  • Understand a ratio
Sharing a pizza fairly

One pizza cut into 8 slices — you eat 2, so you had 2/8, which is the same as 1/4 of the whole pie. Slicing the same pizza into more or fewer pieces changes the numbers but not how much you actually ate; that's equivalent fractions.

Parts of a whole

A fraction a/b means a parts out of b equal parts. Equivalent fractions name the same amount written differently — multiply (or divide) top and bottom by the same number.

1/2 = 2/4 = 3/6   (×2, ×3 on top and bottom)
Simulation · Fraction bar

3/4 = 0.75

Set the denominator (parts) and numerator (filled). Try 1/2 then 2/4 — the bar fills the same amount.

Lab · Spot the equivalents
  1. Set the bar to 1/2 and note how full it is.
  2. Now set it to 2/4. Compare the fill.
  3. Try 3/6 and 4/8 too.

What you should see: 1/2, 2/4, 3/6, and 4/8 all fill the bar halfway — they are equivalent fractions.

Knowledge Check

+15 XP / correct

1. Which fraction is equivalent to 1/2?

2. In the fraction 3/4, which number is the denominator?