Fractions: Halves, Thirds, and Fourths — Answer Key
Part A: Sort the Words
Sort each word or number into the correct category box.
1. Sort each description into the correct category.
Equal Parts
circle cut in halfpizza in 4 equal slicespie in 3 equal parts Not Equal Parts
square cut unevenlycake with 3 uneven piecesbread split into 2 unequal pieces Fractions require equal parts. A circle cut in half, a pizza in 4 equal slices, and a pie in 3 equal parts all show equal sharing. The square, cake, and bread examples have unequal pieces.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. A pizza cut into 4 equal pieces shows fourths.
Four equal parts are called fourths. Each slice is one-fourth of the pizza.
2. Two halves make one whole.
When you combine all the equal parts back together, they form the complete whole.
3. If a shape has 3 equal parts, each part is one third.
When something is divided into 3 equal parts, each part is one-third.
4. A rectangle split into 2 equal parts shows halves.
Two equal parts are called halves. Each part is one-half of the sandwich.
5. Four equal parts of a circle are called fourths.
Four equal parts of a shape are called fourths or quarters.
Part C: True or False?
Read each statement. Circle True or False.
1. One-half of 8 is 4.
True False
For a fraction to be valid, the whole must be divided into equal-sized parts.
2. One-fourth of 12 is 4.
True False
Halves require 2 equal parts. If the pieces are not equal, they are not halves.
3. One-third means 2 parts out of 3.
True False
One-half is larger than one-fourth. Fewer parts means each part is bigger.
4. A shape must have equal parts to show a fraction.
True False
When you put both halves together, they form the complete whole.